The match ended 2-0 in favor of Manchester City, with goals from Rico Lewis and Josko Gvardiol on Sunday.
Kovacic expressed satisfaction with the win, saying they started strong and created several scoring opportunities.
Although Nottingham Forest fought back, Kovacic believed the win was well-deserved for Manchester City.
The team's performance was boosted by the return of several players who had been absent, making their squad stronger.
Kovacic acknowledged that the season has not gone as planned, but they are still in the FA Cup final and competing for a top-four spot.