The former Witbank Spurs coach was sacked on Sunday evening after Galaxy registered a win, a draw and a loss under his watch in the second tier.
Mkhatshwa has sinced been replaced at the Mpumalanga-based outfit by Dan Malesela, who was also recently dismissed by Absa Premiership club Chippa United.
"I don't know what to say my brother, there's nothing I can say," Mkhatshwa tells KickOff.com.
"I have fought with no one, I was not told about terms of why my contract was terminated, or why are we parting ways. There is no terms. I didn't want to ask those terms because I think I'm humble. I have accepted the termination and I'm not going to ask questions because I'm a human being, I know that people can come up with radical decisions.
"I'm prepared to go forward, so I think ja, that's my comment. With respect and dignity I don't hold grudges ... that's how I humble myself. I don't hold grudges with any chairmen. If a chairman feels that I'm not gonna continue working with him then it's okay. I always humble myself, I'm down to earth, not fighting. I will congratulate the new guy who replaced me and I wish him good luck ahead of the season, the management and everybody."
Mkhatshwa, who was credited with Spurs' turnaround last term, says he is always open for offers.
"Because it's something that happened very quick, this phone had 40 missed calls. I'm trying to get back to each and every call. I don't know who the other calls belong to. I only know this call because I know you. But I'm not panicking. I know myself, I believe in myself. I will continue going ahead, trying to help South African players and also the club as well. All the clubs that wants me to help them I'm available but I'm not fighting anybody. It's their decision and I respect their decision."