The US Open champion commented on Craig Levein’s successor after strolling through his second-round Australian Open match against Joao Sousa, winning 6-2 6-2 6-4.
With Murray doing Scottish tennis proud as he looks to add to his first Grand Slam triumph in Flushing Meadows, Strachan is now tasked with revitalising the national team.
“Well, we have a lot of great managers,” said Murray. “He’s obviously one of them. He’s been very successful for a long time.
“He’s fun and I enjoy listening to his interviews. He’s a fun guy.
“Obviously we’ll have to wait and see how he does. But Scotland have got some of the best managers in the world.”
Murray faces Lithuanian world No110 Ricardas Berankis in the third round, while Strachan will start his Scotland reign with a friendly against Estonia on 6 February.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news