Is a chromatic mediant considered a modulation?

Question

Say I go from a C major chord to an E major chord. I understand that this is a chromatic mediant. Does this change my key from C to E though? said differently, does non-functional harmony change keys? edit; why so many downvotes? at first I asked how to incorporate chromatic mediants in my playing. everyone was telling me its too general of a question, I tried to delete it but couldn't since it was answered, so I changed it to a more specific question.

Answer 1

A single chord that's out of the key doesn't change the piece's key. You can use a chromatic mediant as a pivot chord to move to a new key, but a. that's not a chromatic mediant anymore, it's a pivot chord, and b. you'd have to continue on in that new key using a cadence or common chord progression etc. to help the listener understand that the key has changed.