Asamoah, 31, has been frozen out of the Inter team for the UEFA Europa League to cement his troubles at the Italian side.
Persistent injuries affected the former Juventus man who has been left increasingly frustrated.
Asamoah has been linked with a move to Turkish giants Galatasaray and Fenerbahce this summer.
But former Heart of Midlothian midfielder Laryea Kingston has urged his compatriot to consider a return to Ghana's domestic league.
“Why not [he could consider returning to the GPL]? It’s always good to come home for people to have a feel of you because he has achieved everything - whatever he wanted to achieve in Europe,” Kingston, who was a teammate with Asamoah at the 2008 Africa Cup of Nations," he told Goal.
“Coming home to play in the Ghana Premier League is not going to be a problem at all. But first of all, he would need a coach that will understand him because of his European mentality and all that.
“Some of us, we tried it and it did not work because of the mentality and all the experiences we acquired throughout our career in Europe because European clubs or coaches see things differently than how African or Ghanaian coaches see things.
”So when he comes down, I think it will be the best for all [judging by] the experiences that he’s acquired in his career and he can also boost the league. People will be happy to see him or go to the stadium or watch him play.
“I urge all Ghanaian players playing in Europe to come back here and play in the league at the end of their careers so that the league will be very nice. That will also motivate some of the up-and-coming players. But the most important thing is that they need coaches that will understand them like how European coaches understand players.”