Suarez scored four goals and had five assists from 13 appearances last term.
"I see myself as a supporter and like them I love Suarez," Carragher told liverpoolfc.tv.
"I'm just made up he's our player and I'm desperate for him to have another great season.
"I watched him in the Copa America and he was excellent. Hopefully he can carry that form on for us. If he does then he will be one of the standout players in the Premier League this season.
"The best foreign players deliver straight away and Luis has proved he's in that top bracket."