The employee was caught snoozing on a sofa at Milky Lane in central Sydney, Australia, before starting any work.
But Christian Avant, one of the burger bar’s owners, welcomed the man’s decision.
Some online suggested the employee, who hasn’t been named, should have been fired but Mr Avant praised the move.
“Found this on the CCTV at one of the sites but to be honest, who hasn’t needed a nap at Milky Lane before,” the laid-back businessman joked.
“As long as the job’s done, we’re all for a cheeky siesta – life’s tiring at the best of times.”
Mr Avant, from Sydney, said the worker had cleaned two other locations prior to arriving at the restaurant at about 3am.
And the entrepreneur, whose Facebook says he is dating a British expat in Australia, told Yahoo News: “One of my managers there sent me the message and was a bit concerned, I asked if the venue was clean [and] he said ‘yes’
“So I said let him have power naps then, everyone gets tired. We’re pretty cruisy guys, as long as he gets the jobs done.
“If you gotta curl up for a power nap, that’s totally cool.”
Fans on social media have lauded Mr Avant’s approach.
“You guys are amazing for laughing this off and being understanding of this. Some people are doing it so tough at the moment. So both a hilarious and wholesome post,” an Instagram user wrote in a comment.
“Good on you Milky Lane, some of these people work two or three jobs to support their families,” another person said.
“That’s great, it’s so cute,” a third wrote.