Wes Hoolahan, 36, was released by Norwich this summer after ten years and 354 appearances with the 'Canaries'.
The midfielder had been linked with a move abroad but Fleetwood now appear favourites to sign the player.
Hoolahan also retired from international football with the Republic of Ireland this year, following 43 caps with the national team.
Fleetwood are currently sixth in the League One table after four matches, and will be targetting promotion this season.