And, following the Spireites' first away win of the season at Aldershot, the Scot revealed he would gladly take the job on a permanent basis should the position be offered to him.
On-loan Huddersfield midfielder Chris Atkinson struck with 14 minutes remaining to give Chesterfield a 1-0 victory in Hampshire, as the visitors bounced back from their 2-0 defeat at Morecambe in midweek.
That loss remains Wright's only defeat since taking over first-team affairs from John Sheridan at the end of August, and he is confident he will remain in charge for the foreseeable future.
"I have not really spoken to the club, although everything I have asked of them they have given me - stuff for training and the like - and they have backed me," said Wright. "I don't think they are actively looking to bring someone in at the moment, I'm in charge and I'm enjoying it, and I'm doing the job and I must get on with it.
"I wouldn't mind it (the job). I would need to talk to them but I'm doing the job anyway and I will take it if it is offered."