Yes and No! It depends what type of Asylum case you have submitted and what was the purpose of your visit.

@Aug 25 2022 why ? because he already withdrew the case and got GC through a different case ! but you are right that could be a problem

if you don’t have criminal case no officer can terminate your greencard from airport. they have to send you to the court to do anything with your greencard. if your asylum case was withdrawn & gc in different category there will be no issue entering, you might have to explain the situation while citizenship interview n400

@RauL hi Raul do you know anyone personally back home and return to US. we got GC through employment, asylum case withdrawn. planning to visit back home India, also asylum case situation changed in 9 yrs waiting. please share , thanks in advance