Bartlett, who guided Golden Arrows to NFD honours last season, took charge of struggling University of Pretoria in January.
Baxter feels the ex-Bafana striker has all the attributes to succeed in the dugout and is capable of saving AmaTuks from relegation in his first head coaching role in the PSL.
"Shaun Bartlett is 100 percent professional man. I can't say a professional player, he is a professional coach now," says Baxter, whose side edged Tuks in the last-16 of the Nedbank Cup on Tuesday night.
"He is a soccer man through and through, has a great background and has a great character to be a coach. He will be one of South Africa's brightest coaches in the future.
"If we keep producing people like Shaun, South African football will develop faster. I think we we should look after people like Shaun and give them the head... allow them some time to develop and not lose two games and then sack. This is not the way to develop coaches."
Baxter adds of Tuks' prospects of survival under Bartlett: "He can. I think he can. He is developing Tuks. I think they will take a lot of positives from the game (Nedbank Cup). I feel he will take them out of relegation."
Bartlett's charges next face Martizburg United in a bottom-of-the-table clash at Harry Gwala Stadium on Saturday.