Not the parent, but getting US to quit NATO won't help his European ambitions. Russia is weak now, and has solidified the European hostility for years to come.
"European hostility" is not going to matter when there's no EU. No matter how weak, Russia will always be stronger in terms of the number of warm bodies they are ready to throw into the meat grinder than any country in Europe.
UPD: If you don't believe me, look at the European right-wing leaders (including a sitting head of state, Meloni) currently banding up behind Orban, a widely known Putin's shill in Europe.
Dissolution of NATO has been his wet dream for decades.
Next up is dissolution of the EU; the hard-right shift all over Europe (that he gets some credit for by financing right-wing parties and propaganda) will eventually make that dream of his come true, too.
While Trump having a go at Denmark I'm sure pleases Putin other things are not going great his way. The lines in Ukraine are kind of static in spite of huge Russian losses, their economy is bad, their ally in Venezuela got arrested, their ships are getting boarded, the Iranian government is looking shaky.
