Muntari met Portsmouth coach Harry Redknapp on Tuesday ahead of Ghana's 2-0 win over Togo in London.
"I'm close to moving to England and 99 percent of the deal with Portsmouth is completed," Muntari told BBC Sport.
Muntari also paid tribute to Redknapp for expressing interest in signing him.
"Coach Redknapp is a man I have so much respect for," he added.
"He has nurtured many African footballers and I think under him I will make a lot of progress in my career."
Udinese and Portsmouth are negotiating for a transfer fee believed to be around £8.5m (US$16m).
Its a lot of money but i think he would be a very good signing for them.