The President should not micromanage; however, he is responsible for conducting foreign policy. This should NOT have been done with at least informing him, and better, consulting with him on it.
There's probably more to this than we're going to ever know IMHO (and I'm not talking about Deep State plots even though I think there is a Deep State and it doesn't have the best interests of the American people at heart).
Considering Trump as the chief law enforcement officer in the land oh, yeah maybe he should have been consulted on the high-profile International arrest they I think they want to make. You do realize he is the head of the doj and the doj is not independent?