The 60-year-old Dutchman has been heavily linked with the new technical director role introduced by owners Fenway Sports Group, although reports in Holland suggest he would be more interested in the vacant manager's job.
Kuyt, currently on international duty preparing for Euro 2012, gave his backing to the former Ajax and Bayern Munich boss.
"It is not usual for players to speak about candidates, but he is a Dutchman, has a great track record and has the experience that the club could put to good use," the 31-year-old was reported as saying by Dutch newspaper De Telegraaf.
"At the moment, Liverpool have no coach or technical director.
"Each club benefits from structure. You look at the Dutch national team and see that consistency and clarity are important."
Kuyt seemed destined to be leaving Anfield this summer after his starting opportunities were reduced significantly last season, but has hinted he may be open to staying with a new manager coming in to replace Kenny Dalglish.
"The focus is entirely with the Dutch team, but before our training camp I spoke with my agent and discussed what I wanted and I am not thinking about it until I can decide," he said.
"I think it's important there is someone who has confidence in me.
"And there must be genuine chance that I'm going to play as many matches as in the first five years."
Hamburg have already expressed their admiration for Kuyt in the last month, but the Dutchman has not dismissed seeing out the final year of his contract at Anfield.
"I do know of the interest from Hamburg but right now I am concentrating only on the (European) championships," he told German newspaper Bild.
"Everybody knows that I have been playing for six years at Liverpool and so far I've had a great time.
"In the last season I've played less than I wanted and that was very disappointing and annoying.
"I feel that I can play a few more years at the top level - the question is in Liverpool or elsewhere.
"If Liverpool are getting a new coach who wants to keep me and wants to give me more games than last season then that is a possibility but there are others.
"Hamburg is an option. I am proud to have such a great, wonderful club interested in me but there are other requests."