Clarke, who was brought in to work alongside King Kenny, is looking forward to coaching a fully-fit Stevie G.
Liverpool's first-team coach said: "I'm sure he'll work hard during the summer and if he can join us in the first stage of pre-season that would be great.
"Steven hasn't featured much since I came to the club as he's been in and out with a niggling problem with his groin.
"But hopefully the operation has cured it as he's vitally important to us. A fit and fully firing Steven Gerrard can only improve the squad.
"He's certainly one of the most complete footballers of his generation. Over the last 10 or 12 years there have been a number of really top English players and certainly Steven is one of them.
"I've only seen little glimpses of him since I came here but he's a captain who, rather than speaking and motivating, leads by example on the pitch.
"I am looking forward to seeing him do that next season."