"a problem to (do something)" is not very good English. I would say: Have those parents got a problem letting go of their kids? Do those parents have a problem letting their children go?
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AsterixThank you for your advice, GPY!So - what you're saying is that both phrases (let ... go and let go of ) can be used in either situation mentioned above?Potentially yes, though the phrases would normally be restricted to older children, who are starting to lead independent lives, or nearing that stage.