The Italian has won just once in 12 games since replacing Gary Rowett in December and Blues slipped to a 3-0 defeat at Sheffield Wednesday on Friday.
Press Association Sport understands Zola has the full support of owners Trillion Trophy Asia as he tries to implement a change of style and personnel at St Andrew’s.
Zola spent £9million in January and made four main signings, including Kerim Frei from Besiktas and Emilio Nsue from Middlesbrough.
Blues go to Preston on Tuesday 12th in the Sky Bet Championship having slipped out of play-off contention but Zola said the owners have never warned him about his job.
He said: “They didn’t come to me and to be honest the club has been great, they are showing me a lot of support and I do appreciate that.
“It is not everywhere you get the support I get having had the results I have had so far. I don’t hide that.
“I am very grateful and I said to them they will get it back – all the support and trust they put behind me and the players.
“I know when the results don’t come the pressure builds on the coach and that’s part of the game. If I sit down and I start to think about these things do you think I’m going to do my job better?
“I have to believe in what I do and I have to stick to what I believe is the right thing to do and I will do that until the end. There’s no doubt about that. I’ve always done it in my career, I’ve had peaks and I’ve had very low times.
“Don’t think I’ve always been up there, I’ve been right at the bottom. And I didn’t change, I got energy and tried to change certain things and then I went up. This is what I’m trying to do. I’m not standing still.”