Upvote:4
If the visa is not cancelled, there is no reason to apply for a new one. You can still travel to the US on a non-immigrant visa but you should carry your I-407, Record of Abandonment of Lawful Permanent Resident Status:
Use this form to let us know you are voluntarily abandoning your status as a lawful permanent resident (LPR) of the United States. We will update your records to show you are no longer an LPR.
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If you travel to the U.S. on a non-immigrant visa in the future (or on a Visa Waiver Program, if you qualify because of your country or citizenship), present your non-immigrant visa (or just passport if travelling on a Visa Waiver Program) and a copy of the I-407 next time you enter the United States. This will minimize your risk of complications with the immigration officer at port of entry concerning your immigrant versus non-immigrant status.
(Source)