The 37-year-old was named as Steve Evans successor at Elland Road last month as Monk stepped back into football management since being sacked by Swansea in December.
He was at the Liberty Stadium in a managerial capacity for less than two years but, despite his lack of experience, Monk still managed several victories over the likes of Arsenal and Manchester United during his spell.
The former defender also won admirers for his philosophy on the game, and Murphy is delighted with the coup.
“In my opinion, it’s a very good appointment and hopefully he can do a good job for us next season," he told Leeds' official website.
“He likes to pass it and keep the ball on the floor. I think we’ve got the players in our squad who will suit that.
“I think it’s a good match and hopefully the squad and the manager will complement each other well.
“Everyone will be trying to make an impression to put themselves in his thoughts to make the starting line-up come the start of the season.”
Monk is owner Massimo Cellino's seventh managerial appointment in just two years, suggesting that the latest head coach really must hit the ground running.
His predecessor Evans was harshly dismissed, having replaced Uwe Rosler in October and comfortably achieving his remit of steering Leeds away from relegation.
They finished 13th in the Championship this past season, 19 point clear of danger.