It is not normal to interfere in the affairs of other sovereign nations unless one of the affected nations requests help. And even then the other nations have a lot of additional considerations beyond doing anything but making a sternly worded speech. Most of the time when the USA inserts itself into other affairs people complain about the USA being a bully and sticking its nose where it doesn’t belong. The EU needs to craft a strong response to this by itself or lose a lot of credibility on the world stage.

Edit: just to clarify, some of the USA’s other considerations would be the risk of getting called out for being a hypocrite- it has done a few shady extraditions in the past.