Grant, who set career highs in goals (12) and assists (12) in 2017-18, will be an unrestricted free agent this offseason.
Grant recorded two assists during Sunday's 6-3 win over Chicago.
Grant was a healthy scratch for the fourth time in nine games against Pittsburgh on Wednesday, and he's averaged just 7:49 of ice time through the five contests he's suited up for.
Grant recorded an assist through just 7:14 of ice time during Thursday's 3-1 win over St. Louis.
Grant scored a power-play goal and logged 19:13 of ice time during Wednesday's 4-2 loss to the Golden Knights.
Grant recorded an assist through 13:48 of ice time during Friday's 5-3 loss to Nashville.
Grant hasn't registered a point and owns a minus-2 rating through the first six games of the season.
Grant agreed to terms on a one-year contract with the Ducks on Saturday.
Grant, who has recovered from a shoulder injury, was assigned to AHL Rochester on Friday, the Olean Times Herald reports.
Grant (shoulder) is listed on injured reserve, per the NHL's official media site.