Kelly was hired as a development coach for the Senators on Wednesday.
Kelly snagged two assists in 2017-18, but just played in 12 games averaging 7:39 of ice time.
Kelly logged just 6:54 of ice time over 13 shifts during Friday's 3-2 overtime loss to Winnipeg.
Kelly signed a one-year, $1.25 million deal with the Ducks for the remainder of the 2018 season, Bob McKenzie of TSN reports.
Kelly signed a professional tryout agreement with AHL Belleville on Tuesday, Bruce Garrioch of the Ottawa Sun reports.
Kelly has been skating with Carleton University, but he's not giving up on his goal to latch on with an NHL team, Wayne Scanlan of the Ottawa Citizen reports.
Kelly was scratched for Saturday's 2-1 overtime loss to Washington.
Kelly will attend the Oilers' training camp on a professional tryout agreement, Jim Matheson of the Edmonton Journal reports.
Kelly won't receive a contract offer from the Senators initially, but he may be re-signed by the club at some point ahead of the 2017-18 campaign, Postmedia's Bruce Garrioch reports.
Kelly will make an appearance in Game 5 against the Bruins on Friday.