Mourinho has tried to increase the pressure on City, but Kompany believes any side in the top four can win it.
Chelsea have a four-point lead over second-placed Liverpool, with City fourth in the table, six points off the lead.
Mourinho's men could extend their advantage to nine points this weekend as City play Wigan in the FA Cup on Sunday.
The Portuguese manager claims Manuel Pellegrini's side are favourites for the title because they have two games in hand and "destiny in their hands."
Kompany, however, has laughed off Mourinho's claims and says he's not bothered by what opposition managers have to say.
"It's very simple in football, the winner is always right and the loser is always wrong," Kompany told Sky Sports.
"Unless a manager puts on his football boots and starts playing as a striker, I'm never really worried about what they can say.
"As I say, there are four teams and Liverpool is one that can win it as well. Maybe City and Chelsea have a slight edge, but then again Liverpool have just as much momentum.
"Arsenal will probably get the momentum back again when they win again, so it's a good league for the neutrals. I think it will be tight until the end."
Find out on Saturday Night Football if Chelsea can extend their title lead when they take on Tottenham - live coverage from Stamford Bridge starts at 5pm on Sky Sports 1HD and Sky 3D.