They haven't said it, but they absolutely do it, or at least did about 7-8 years ago.
Source: used to chat with Google search engineers about web spam back in the day at conferences.
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“Google Analytics is not used in search quality in any way for our rankings.” -Matt Cutts (ex-Google) (2010)
https://www.youtube.com/watch?v=CgBw9tbAQhU
Ah yes, 13 year old information. Maybe it was true then, it is not now. Cutts had a known pattern of denying anything and everything about their ranking data until cornered (see his video with Harry Shum of Bing when they caught Bing stealing Google clicks), so I would recommend against using him as a source for almost anything these days.
Believe what you want, but apply some basic logic - why would they not use data they already have?