Tinkler handed the former Orlando Pirates attacker his first start in the goalless draw with Golden Arrows on Saturday since replacing Dan Malesela in the hotseat three games into the season.
Tinkler sought to draw the positives after the match, admitting it was not their best performance at a wet Princess Magogo Stadium in KwaMashu.
However, he is encouraged by his men's efforts given the circumstances.
The ex-Bafana Bafana midfielder also believes Rakhale and new signing Kabelo Seakanyeng, a Botswana international, will improve with more game-time.
"Obviously the morale was quite down. It's not great to start the way they did and obviously when the coach leaves it's always a difficult situation," Tinkler said.
"But I think the players responded very well. Against SuperSport United I thought we performed well and deserved more. The game against Baroka we put on a great performance. We could have won that game comfortably when I look at the chances in the first half.
"But today was not such a great performance. Also, you need to also sometimes be a little bit realistic when giving the young boy Seakanyeng an opportunity, his first start. Rakhale his first start, so there's a bit of jitters and nerves in there and a lack of form.
"So you know sometimes you got to look at those things and say, 'well, with more games, they'll get better and they'll get more stronger'. So I don't think it's all doom and gloom."
Tinkler would have liked his charges to take more cracks on goal in the slippery conditions in Durban. Seakanyeng was the only one of the visitors to test Arrows goalkeeper Nkosi Gumede with a vicious shot, which was well parried away.
"I don't think the conditions had anything to do with the result. In the first half I thought we controlled the match. I don't think we dominated but we controlled the match.
"We looked the more threatening team in that first half, not that the keepers had to make major saves, but we got ourselves into situations, good situations. I felt we didn't pull the trigger when we had the opportunities to do so, especially in the conditions that you saw. It was a perfect opportunity to take an early lead.
"We had opportunities to have strikes. It is these conditions that are perfect to have those strikes, those shots where you never know. The ball can ricochet and go in, the goalkeeper can make mistakes by parrying the ball out and someone can finish. And we didn't do that in the first half. But like I said, we looked the more dominant in that first half.
"In the second half it was a different game, a completely different game. I tried to explain to the players to be a lot more positive going forward. Defensively Knox Mutizwa was hurting us, especially coming on Zitha Macheke's side and Zitha sometimes finds himself in 2-v-1 situation, and we spoke about rectifying that.
"But we just looked flat, to be honest. We looked very flat in that second half. As the half went on they grew stronger and we seemed to grow weaker. The substitutions I made unfortunately didn't make the impact that we hoped they would."
The Chilli Boys, who are above the drop zone via goal difference after six games, next host Free State Stars on October 3 at Nelson Mandela Bay Stadium in Port Elizabeth.