Tagoe, who had struggled to tie down a spot at German side Hoffenheim, will be hoping he can find the playing time and goals that eluded him in Germany.
He has signed a three-year deal.
The striker barely got to play at Hoffenheim, after his move from the oil-rich Arab world in 2009, but proved he can cope with the demands of European football by bagging 12 goals during a loan spell at Serbian champions Partizan Belgrade, who he helped to win the double.
But while Tagoe has taken his cue and flown in the face of limited playing options in Germany, Muntari has stayed on at Inter Milan in Italy, when everything points to the fact he will not feature often.
The midfielder spent the second half of last season on loan at Sunderland after falling out with then-Inter boss Leonardo and has already lost his original shirt number at the club.
And despite his representatives claiming interest from Fulham and Tottenham Hotspur in England, as well as approaches from Galatasaray and Real Sociedad, he has stayed on at Inter.
Muntari's is one of many moves involving Ghanaian players that did not materialise. Goalkeeper Richard Kingson is also still without a club, but as a free agent he will not be restricted by the fact that the transfers period has ended.