The former number two pick struggled for both playing time and consistency during his stint alongside Kevin Love, and admits that it was difficult.
"There were times where I was like, 'I'm definitely not going to play tonight,'" Williams told The AP.
"And K-Love would have 25 [points] and 15 [rebounds]. Sometimes you have to come to grips with yourself and realise that."
The Kings sent defensive specialist Luc Mbah a Moute to the Wolves in exchange on Wednesday, but Williams admitted that he is already feeling at home with his new franchise.