The Morocco international linked up with the Potters at the end of August on a season-long agreement.
He was allowed to leave Anfield in order to get the game time he needs in order to fulfil his undoubted potential.
The 25-year-old has shown glimpses of what he is capable of during his time with Stoke, but admits that they need to stick to their footballing principles if he is to perform consistently.
Assaidi told The Sentinel: "I have a lot more still to offer this season.
"I also like to play in a football team, a team that plays football. If we pass too much in the air, I'm not Peter Crouch, it's no good for me!
"I hope the Swansea match (a 1-1 draw on Wednesday) was just a bad day and we will play football better in other games."
Assaidi was introduced off the bench in midweek, having been nursing a hamstring complaint, but claims he should be back to peak fitness by the time Stoke return from warm weather training and ready themselves for a trip to title-chasing Manchester City.
He added: "It's been a bit of a frustrating month. I have played a lot of games, so maybe that caught up with me, I don't know.
"I was not 100 per cent against Swansea. I had too much pain in my hamstring, but I wanted to play and the coach put me on the bench.
"I am sure it will be better by the time we get back from Dubai ready for the game next weekend.
"Manchester City will be a hard game. At home we have shown we can beat anyone, but away we have to improve."