The 26-year-old is currently on loan at Sunderland from Italian side Inter Milan until the end of the season.
Muntari won the quadruple alongside Jose Mourinho at Inter Milan last season.
He told The Daily Mirror: “We both missed English football so much.
“Every day we would talk about English football and what was happening in the Premier League, sometimes for a long time. Jose is a great man.
“I think definitely one day he will come back into the Premier League, he wants it so badly. He never said that directly but he did not have to. It was so obvious.
“I missed it so much. I watched it every day, read about it all the time and was telling my friends how much I wanted to return, even when I was winning titles and the Champions League.
“It might sound strange because we were winning so many trophies including the Champions League, but whatever happened in Milan, I had to come back to the Premier League.”
He added: “I feel welcome here. Everyone has so much passion about football. There is a different passion here. The stadiums are always full and that is what makes the football so great here.
“It is something I really love. Of course, there is passion in Italy but it is a different style of football. Here it is so passionate. The Italians are good people too. I am not against Italian football just so much for English football.
“I do not know whether I will be here next season. I am on loan but I am just concentrating on the rest of this season. I am not thinking about what will happen at the end of the season.”
