The Tigers made history five weeks ago when ending their 104-year wait for a place among English football's elite with victory in the Championship play-off final.
"Everyone knows that when a new team goes up - and the same goes for West Brom, Stoke and ourselves - it's going to be very difficult" the 34 year old told the Hull Daily Mail.
"But it's also difficult for the likes of Wigan and Fulham who have struggled.
"You have to embrace the challenge of testing yourself against the best.
"We're not going in there just to make up the numbers, we want to go there in the first year in the top-flight and make sure it's another good year."