Belgian frontman Benteke has suffered a dip in form of late, with Premier League defences more aware of his threat following a standout debut season in English football.
He has gone eight games without finding the target, and has seen a barren spell in the final third cost him his place in Paul Lambert's plans.
Benteke's loss has been Kozak's gain, with the Czech marksman on target during a 3-2 victory over Southampton on Wednesday.
A summer signing from Lazio, Kozak is delighted to have been given his moment in the spotlight, but believes he and Benteke will be given ample opportunity to prove their worth over the course of a testing campaign.
He told the Birmingham Mail on Villa's strike options: "It's a good relationship and I find it good with him.
"It's something for the manager to decide but we'll always look to contribute for the team.
"I am happy the manager trusts me but it's not easy because Christian has scored a lot of goals. Now everyone waits for my goals so I'm happy I'm scoring and we won a difficult game.
"It's not easy when Christian is on the bench, but this is football. He must work to his maximum and on Wednesday it was me, on Sunday it could be him.
"He scored many goals and now I want to score too, but I don't look for this thing all the time, you just want to play well."
Kozak admits he is still getting to grips with life in the Premier League, with greater emphasis being placed on him to aid the collective cause, rather than push for individual glory.
He added: "I feel good, English football is different to Italian but I am adapting to the league and for me it's good. I have to continue to work for better form.
"I am happy with the goal and winning the game on Wednesday. It was a difficult game and I'm happy for the team.
"On Wednesday I played without chances, but after a perfect cross from Karim El Ahmadi it was easy for the goal and it was very good work from him.
"We played well because Gabby (Agbonlahor) held the ball and the midfield came up to us. We worked on it in training and we did it against Southampton."