Narkle was axed by the Cats just days after the club's premiership win over Sydney, with the Maddington product among five players cut by the Kardinia Park club.
The list call saw an end to the 24-year-old's time in Geelong, which spanned 41 games and five seasons.
Narkle's management has already revealed there has been some level of interest in the fringe midfielder since he departed Geelong, however Narkle was overlooked at this week's National and Rookie drafts after being among close to 900 nominees for the off-season intake.
AFL clubs are able to invite players to join their pre-season plans ahead of and during the Supplemental Selection Period, which is set to run from January next through to March.
The Tigers flipped their midfield this year, with premiership stalwarts Kane Lambert and Shane Edwards announcing their retirement from the game, while the likes of Riley Collier-Dawkins and Will Martyn were not offered new deals.
Narkle could add to the new-look midfield ensemble at Punt Road should he impress across the summer.
The West Australian has also reported that another Western Australian native in Reuben McGuire, a key forward from East Fremantle, is in line to get a training spot with Essendon ahead of the 2023 season.
McGuire, 21, played 14 matches for the Sharks' senior side this season for a return of 14 goals, while averaging 10.7 disposals, 3.6 marks and 7.4 hit-outs per game.
Waterman was cut by Essendon this off-season, while Martin was elevated to the club's senior list this week after a stellar debut season in the red sash.
The Bombers have previously been linked with former Western Bulldogs player Brad Lynch as a possible SSP trialist for the pre-season.