Frisk was accused by Mourinho of meeting Barca coach Frank Rijkaard for secret talks at half-time in a Champions League clash almost three years ago.
But Frisk told The Sun: "I gave up the game because of what happened with Mourinho.
"I made my decision clearly but you have to move forward.
"I feel no animosity towards him. If I met Mourinho tomorrow I would shake his hand.
"Whether he would shake mine you would have to ask him - but I think he would."
Incredibly, Frisk's 12-year-old son is a Chelsea fan.
Frisk revealed: "Alexander supported Chelsea long before my problem with Mourinho.
"That's OK. There is no bitterness in our house."