The Dane worked extensively at Liverpool during Jurgen Klopp's time in charge.
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He told RG: "Liverpool are always welcome to call me.
"The only reason I would say no is if I were already under contract with another Premier League big club, a direct title contender."
Gronnemark also said: "I receive messages every day on social media from fans thanking me for the work I've done with the team. Given my history with the club and my connection with the fans, I'd say yes in almost every circumstance."