The 37-year-old returned to management on Thursday after being sacked by Swansea last December.
Leeds is no ordinary job, though.
Controversial owner Cellino has seen off six managers during his two-year tenure and as such the role has become viewed as something of a poisoned chalice.
The likes of Brian McDermott, Darko Milanic, Neil Redfearn, Uwe Rosler and most recently Steve Evans have worked under Cellino with no success.
But Monk says what happens on the field is the only thing on his mind after signing a one-year rolling deal.
"It's not my focus, my focus is football," he said after being unveiled by club ambassador Eddie Gray.
"I'm excited to be here, let's get excited again, get the crowd on our side. My job is to make sure everybody is on board."
Monk hopes to add former Swansea assistant Pep Clotet to his coaching staff while he is planning on having his new players - who have yet to be given a pre-season schedule - back in training by the end of June.
And, despite the obvious backdrop of danger with Cellino, Monk is aiming high.
"We are here for the Premier League," he said. "I don't shy away from that. After speaking to the owner, with his knowledge of football and his ambition, it matched mine.
"I'm a young manager, I want to have challenges in front of me and this is a big challenge. I can't wait to work with the players and everyone at the club."
Monk said he has been given assurances from Cellino that the Italian would not meddle in first-team affairs, and that no specific targets had been set despite the club's brave pledge to refund season ticket holders a percentage of their outlay if they fail to make the play-offs.
"I think the Championship is the toughest league in the world," he added. "But I feel if we put a plan in place we can be really confident of everyone coming together.
"When I spoke to the owner it (Cellino interfering) wasn't even a discussion. It wasn't even part of the questioning. He made that very clear from the very start, he's never done that in the past and has no intention of doing that in the future."
Monk was quick to make an early impression as a bright young manager after being appointed by Swansea in May 2014.
He had spent the previous 10 years in a playing role with the Welsh club, whom he joined when they were in League Two, and had been handed the temporary role as head coach following the sacking of Michael Laudrup in February 2014.
Monk guided Swansea to their highest Premier League finish of eighth in his first full season, but after an encouraging start to the 2015/16 campaign - he was August's manager of the month - the club dismissed him after a run of just one win in his last 11 games.