The forward also anticipates a much tougher game than when the two sides last met.
The Reds were disappointing last season as a fine run in the second half of the season could not make up for a poor start and they finished sixth in the table.
That of course meant they missed out on Champions League football, having managed to qualify for the competition the year before, and they will have to make do with the Europa League once again.
And Crouch says he is hoping they can make it back into the competition once again, but concedes it will be difficult to do so.
“A club like Liverpool should be competing in the Champions League,” the Mirror reports him as saying.
“They’ve got a good squad full of world-class players and on their day they can beat anyone. They have improved from last season, but it’s going to be tough. I would love to see them do it.”
No repeat of the last meeting
Brendan Rodgers have been extremely busy this summer, with a whole host of new faces arriving at Anfield as they try to qualify for the Champions League once again.
The first hurdle will be to overcome Crouch’s Stoke side on the opening day, with them famously having been beaten 6-1 at the Britannia on the final day of last season.
Crouch was a goalscorer that day but believes that the visitors will be much tougher competition come the opening day, anticipating a tough game.
“It does hurt when you get hit for six, especially for a team of Liverpool’s stature,” he added.
“They’re gonna want to come to the Britannia and try to put it right. It was a surreal day, but we’re not expecting that again. It will be a tough game and we will be wary of them.”