Parker opened his League account with a brace on Wednesday night, as Amakhosi issued a statement ahead of Saturday's Soweto Derby with Orlando Pirates, who earlier parted ways with coach Vladimir Vermezovic.
Parker said: "As you could see tonight, all of the guys were on the front foot and were all clear, with no cloudy minds.
"Our intentions were good and we managed to create a number of chances and were also solid at the back.
"From now I think there will be a lot of victories down the line."
Meanwhile, Parker felt he was personally rewarded for paying scant regard to his critics.
"To be honest, I have received a lot of criticism, even though my ankle is not 100 percent healed with there still being pain.
"I managed to work on myself mentally and today I think it worked. I was composed, didn't care about anything else and just focused on my game."