Baxter ended his 15-month spell in charge of Matsatsantsa in style with the club's 4-1 thrashing of Orlando Pirates in the Nedbank Cup final at Moses Mabhida Stadium.
The former Kaizer Chiefs coach, whose side finished fifth in the Absa Premiership, has been replaced by ex-Cape Town City mentor Tinkler who was in the stands in Durban on Saturday.
"I certainly think that they can get better, I certainly do. Individuals are coming back into form; Bradley Grobler is coming back into form," said Baxter.
"You got Cole [Alexander], and if he gets fit and increases the competition, I think there's a lot more to come from the lads. If they believe in themselves that they want it, I think there's a lot more to come."
Baxter recorded 29 wins, 22 draws and 18 defeats in his time with SuperSport.
The Briton will now focus solely on guiding Bafana Bafana at the COSAFA Cup as Tinkler seeks to raise his profile further in Tshwane after steering City to Telkom Knockout honours and a third-place finish in the league in 2016/17.