The squad came through the weekend’s 1-1 draw with Southend without any further problems, which gives manager Graham Alexander options for the tie.
Captain Nathan Pond was only deemed fit enough for a place on the bench on Saturday after returning to training after injury but the centre-back could be back to face the League Two visitors.
Fleetwood are bidding to progress beyond the opening round for the first time in their history.
Goalkeeper Trevor Carson is out for Hartlepool after it was confirmed he suffered a hairline fracture of his toe in training last week.
Former Gateshead stopper Adam Bartlett played and impressed in Saturday’s 2-0 win against Morecambe and will continue.
Defender Dan Jones is unlikely to feature as he nurses a back problem, while midfielder Brad Walker is struggling to overcome a thigh strain which ruled him out against the Shrimps.
Jordan Richards faces six weeks on the sidelines with a stress fracture in his back.