Champions Amakhosi are sixth on the table with 12 points - three points behind pace-setting neighbours Moroka Swallows and six in front of the 14th-placed Urban Warriors.
"Ajax is a problematic team," Parker told his club's official website. "They are full of youngsters who are full of energy and excitement. No doubt we are expecting a tough encounter on Tuesday night. They will be all over us.
"We will approach them just like we do with other games. At least we know what to expect from them and like all my teammates we just want to win on the day."
Parker, who is in the national squad to face Swaziland on November 15, added: "We would like to stay on the top with the other teams and keep being on top. Personally, I will focus on the game and look at contributing to the overall performance of the team. Goals will come if I focus on the game."
Chiefs drew 1-1 at home with fierce rivals Orlando Pirates in their previous outing, while Ajax recently held University of Pretoria to a goalless stalemate.