He says in the wake of Bafana Bafana being knocked out of the Africa Cup of Nations (AFCON) when they lost to Nigeria 2-1 in the quarter-finals on Wednesday night.
Many people are divided whether Baxter should continue as a coach or not.
Mosimane was however proud of Bafana who managed to reach the quarter-finals after beating Egypt in the second round clash.
The team was not convincing in the group stages and also against Nigeria.
Mosimane used to coach Bafana after Brazilian Carlos Alberto Perreira was in charge at the FIFA 2010 World Cup.
He was fired after the team failed to qualify for the AFCON when they were pipped by Niger. Mosimane scoffed at suggestions that he can coach both Sundowns and Bafana.
– Report by Vincent Sitsula