But 39-year-old Claridge, who was dumped as Millwall boss in the summer without playing a game and was in charge of Weymouth for a spell, insists he will not quit the Bantams.
He said: "I have signed for Bradford City until the end of the season and as I said last week am keen to look beyond that.
"I've no desire to manage Crawley or any other club at the present time. In fact, I want to play until I drop."