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.
Grant (shoulder) is doubtful to play prior to the Sabres bye week which starts Monday.