Celtic stormed to a two-goal lead courtesy of strikes from Dumisani Zuma and Vuyani Ntanga, but Marc van Heerden and Kulegani Madondo responded for Usuthu before Bornwell Mwape netted the winner in extra time at Princess Magogo Stadium. It was the Durban side's first victory of the season in eight matches.
Mugeyi, a prolific marksman in his playing days, was handed the reins the day before, as Craig Rosslee's future at Moses Mabhida Stadium remains uncertain.
"It looks like I get goals every time I'm charge. The last time [last season] against Golden Arrows we scored three and we have never scored three goals at home, so I think I have a good luck charm I guess," said Mugeyi with a smile.
"The boys showed good character, and coming back from 2-0 down and winning it 3-2, that was fantastic. I will sleep peaceful at night and as I said, it was a good victory for the team and everyone associated with AmaZulu. I think we needed this victory at all costs, just to give the boys the confidence especially going to our next league match Mpumalanga Black Aces."
Mugeyi went on to explain why he opted for Aubrey Mathibe in goal instead of regular net-minder Tapuwa Kapini, who made a high-profile blunder in his side's previous 2-0 loss at Bidvest Wits in the Absa Premiership.
"I just thought I needed to give Aubrey a chance and Kapini, I could see his level of confidence was a bit down. Also to protect him from what happened [against Wits] and that was a decision I took to take the pressure off of him," said the 'Silver Fox'.