Mashamaite and Baxter enjoyed good times during the latter's first stint with the club between 2012 and 2015, winning two league titles and two cups.
"Look, I mean he was the last one to win silverware, so why not bring him back? I'm sure the reason that Chiefs group won silverware is because there was a certain structure that made sure the results were delivered at the end of the day," the retired defender tells snl24.com/kickoff.
"He was a man in charge. I know he's a student of football, so I'm sure he will be bringing new ideas, like reconstructing what was lost when he left.
"So, I wish all the best for him. Chiefs is in the semi-final of the [CAF] Champions League, so it would be nice if they win it and take it from that momentum going forward. The whole of South Africa has to rally behind them [against Wydad Athletic Club]."
The former Bafana Bafana centre-back recently launched his own company, called The Collective Sports Agency, as he now wants to use his experience as a footballer to assist sportsmen and women across various sporting codes.
"Obviously, post my playing days I had to start thinking about what I get into. I've got so much experience to offer so, I've decided that running a sports management agency would be something that will challenge me," he adds.
"I have partners but they prefer to play a more behind-the-scenes role. These types of things you can't just go into them alone, but I'm running the initiatives, I'm the face of it – I'm the director.
"We are based in Pietermaritzburg, which is where we have our physical offices, but you know with Covid-19, you can do a virtual running of businesses.
"I'm mostly operating from Limpopo. As times goes, we will be able to reveal the players who are in our stable."