The former midfielder questioned Enrique's long-term motivation in Ligue 1 while noting his continental success.
"Well, if Luis Enrique wins the Champions League again, what more can he do?" Murphy asked.
Murphy claimed the standard of competition in France might cause the PSG coach to seek a new destination.
"He must be bored there, playing in a Mickey Mouse league where he wins every week," he said.
He noted that continental fixtures remain the primary objective for the manager in his current role. "All he's looking forward to is the Champions League.
He must want more challenges, surely?" Murphy asked.
Murphy further analyzed that Liverpool fans would favor the high-energy tactical approach utilized by the French club.
"If you watch PSG as a Liverpool fan, you're thinking, that's how I want us to play. A bit like Jurgen Klopp's team, aren't they, PSG?
And if you're one of the biggest clubs in the world, go and get the best," he explained.
He added that the negative sentiment surrounding the current management has continued to escalate across the fanbase. "I think the noise has just grown," Murphy added.
Murphy concluded that the atmosphere failed to improve even as the football season drew to a close.
"I mean, if it dissipated because they started winning some games and playing well at the end of the season, that's fair enough.
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But it hasn't, it's gone the other way," he noted.
