How can I extract features from a poligon layer whose part is overlapped by other poligon?

[asdfjljwg]

Hello, I have two layers. One is the layer of administrative districts, and the other one is some buffer layer. So when I overlapp two, the picture looks like below : 

Each features of administrative district layer(pink) are district, of course. I want to screen the districts that 'contain' the buffer poligon(blue). In other words, I want to make a layer of districts which contains a part of buffer poligon, regardless how much area the contained buffer is.

And I want to extract the whole feature of district, not the only part which is overlapped by buffers. So 'clip' cannot be a solution for me at this case.

As I know, there is a tool that can do this kind of thing...but I don't remember😭

Please help me!

[DanPatterson]

Select Layer By Location (Data Management)—ArcGIS Pro | Documentation

with the intersect option I would assume.  Once selected, export/save the selection to a new featureclass