Sarri was unveiled as new coach of Juve on Thursday.
“The negotiations with Chelsea did not last over a month," explained the sporting director.
“We had clear ideas from the start, but you have to show respect for a Coach under contract and two big clubs.
“I thank Chelsea for their disposal, as Marina Granovskaia confirmed herself one of the best directors out there.
“We made a choice, thinking the propulsion and alchemy created between club, Coach, players and fans could start to weaken a little.
“Our choice to change Allegri was not down to results or style of football. Style of football was not central to the reasoning for changing.
“We chose Maurizio because we felt he was the best Coach for Juventus right now, just as Allegri was five years ago and Conte three years before that.
“These are all different Coaches with different characteristics. Sarri showed he can win in the Premier League and internationally, so he's the right man for the job.
“He was absolutely the first choice. I don't know what we said to convince him, maybe he just felt we really wanted him."