This amendment doesn’t address immigration, but here's the tangle of Constitutional authority regarding it:
The Constitution balances two powers covering the United States’ relationships with other countries. One is the President’s role as Head of State, commanding the military and diplomatic forces, meeting with other government leaders and maintaining embassies. The other is Congress’ role under Article I, Section 8, “to establish an uniform Rule of Naturalization, “ legislating all matters involving foreign nationals in or wanting to enter the United States. But the Executive enforces all federal laws, including immigration law.

Here's where it gets complicated. The Supreme Court allowed the President the power to selectively enforce immigration law by policies and executive orders., but the Court may not change the balance of powers. The Constitution forbids the President to selectively enforce the law (see Executive in Conflict and Congress in Conflict), and never grants the President authority to make policies or orders equal to law. That’s Congress’ job. But Congress avoids making these tough decisions. Selective enforcement takes the pressure off Congress to correct flawed or outdated laws. It also dilutes the efforts of activists, who have to spread their Grievance clause efforts between two branches of government instead of focusing on the one with the power. This keeps the ball bouncing back and forth between branches for years or decades.

If the Court upheld the Constitution’s delegation of powers and its mandate that the Executive enforce laws faithfully, it would appear on the surface to be taking an anti-immigrant stance but if the majority of Americans want change, upholding the Constitution on these clauses would keep the issue in Congress, where immigration law can be made or changed.

Foreign Nationals and Voting 

Residents who are not citizens have at times been targeted by fraudsters to commit voter fraud.

Eligibility can be confusing. Yes, you are represented in Congress (see The Representation Question)

but most states prohibit any voting by noncitizens.

Voter fraud is a crime, and even being tricked into it can disqualify a citizenship candidate.

This proposal is not legal advice.

Members of Congress, and the INS, can assist anyone with an eligibility question.

States determine voter eligibility under Article I, Section 4 so Amendment XIV, Section 1,

which requires all people to be treated equally by all laws (see An Invalid Amendment by Statute)

doesn’t require noncitizen voting. Noncitizen voting is a form of voter fraud unless that particular state allows it on that particular ballot. Don't accept casual advice: get the rules from the government.

Use the buttons "Find My Senator!" or "Find My Representative!" and ask their staff.

Congressional staff members are a friendly and helpful group.

Some states allow resident foreign nationals to vote in school  district elections or other local elections

that affect all residents. Noncitizens can never hold or vote on any office,

or propose or vote on any ballot initiative, that involves any of the following:

the use of federal authority;

making state or federal law or the rules or procedures of state or federal governments;

spending or raising federal money (or state money of federal origin);

or addressing questions of Constitutional or federal law (state judges must sometimes decide federal questions).

Noncitizens may volunteer.

States have sometimes allowed more, but it’s never constitutional beyond these limits.

Refugees remain citizens or subjects in their country of origin and when their form of government allows may vote by absentee ballot. The United States will help if it can.

No country allows noncitizens to vote in national elections:

other countries could deliberately influence their elections if they did,

and a right to vote in two nations would disadvantage those who may only vote in one.

In order to vote in the nation of your choice, you must always give up the right to vote in the nation of your birth (unless you have dual citizenship) and accept other citizenship duties.

Becoming a citizen includes agreeing to the Constitution whose requirements, such as secular government, may not exist in the country where you were born. Acceptance of these American values in the context of government and law is assumed for participation in our governance.

To fill this out (again, not legal advice), federal courts can generally only hear noncitizens' cases against states if Constitutional rights are affected (Amendment XI, qualified by caselaw.

"Judicial power of the United States" is used there to distinguish a level of court above state courts, although state courts are also technically United States courts and can address federal and Constitutional law). With these exceptions, all rights, privileges and immunities are the same for citizens and noncitizens. (This amendment doesn’t address border policy.)

Under this amendment voter fraud will also disqualify any political candidate who knowingly benefits from it (see Penalizing Political Fraud).
If anyone harasses you to vote in an election when you know you aren't eligible,

tell the police or the Board of Elections.

Or tell the candidate!