Boateng, 32, received a Ghanaian passport in May 2010 and switched his allegiance to Ghana but his time in the national team was marred by controversy - when he was kicked out of the squad at the 2014 FIFA World Cup in Brazil.
The talented German-born attacker lashed out at the Ghanaian FA and branded them "amateurish", while the incident was said to be sparked by his verbal abuse directed to Appiah during his first stint with the senior national team.
However, Appiah says there's a chance for his return, but he needs to apologise for the infamous incident.
"I have said that he is a good player because when I took over he was playing for Sassuolo," Appiah said, as per GhanaSoccerNet.
"I have also said that if he takes the step to apologize I will have the opportunity to invite him. Then he can play for all Ghanaians to assess him to see if he can help us or not.
"If this isn’t done earlier and we finish playing all our games before the Afcon then it will be very difficult to give him a call-up."