Wimbledon champion Murray, 26, has been without a coach since splitting from Ivan Lendl in March.
The Scot said: "Every player would consider someone with his credentials.
"I like listening to him commentate and he has a lot to offer as well. It's interesting but if anything comes from it, who knows?"
American McEnroe, 55, was renowned for his fiery temperament as a player.
He won seven Grand Slam singles titles but has never coached professionally.
Murray said: "When you are very competitive as a player, you are likely to be the same as a coach and that's also a benefit.
"He was a great player and he's always kept an interest in the game, which is important. He has a great knowledge of the sport."
Murray may make an appointment before the French Open, starting on 25 May, but is prepared to wait until after Wimbledon, which finishes on 6 July.
"It depends how I do in the next couple of weeks," he said. "If I do well, I'm not going to have that much time. If I don't do so well, I'll have a little bit more time to think about it and chat to people.
"I need to have the right person in place. I don't want to have the wrong person in place by the French Open. I'd rather wait a few weeks and get the right person three weeks after Wimbledon."
Murray, who missed the French Open last year through injury, begins his Madrid Masters campaign on clay on Monday before completing his preparations for Roland Garros with the Internazionali BNL d'Italia in Rome.
He visited Roland Garros recently to practise with Frenchman Jo-Wilfried Tsonga, before another training block on clay in Valencia with Spain's David Ferrer.
Murray will face Nicolas Almagro, who beat Nadal at the Barcelona Open last month, in the first round in Madrid.
Andy Murray was speaking to BBC Scotland's Kheredine Idessane
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