Groulx was waived by the Rangers on Wednesday, Renaud Lavoie of TVA Sports reports.
Groulx inked a one-year, two-way contract with the Rangers on Tuesday.
Groulx was in the lineup for Thursday's 6-3 loss to the Hurricanes, recording two hits, a blocked shot and a minus-1 rating.
Groulx has gone 12 games without a point.
Groulx notched an assist in Tuesday's 3-2 overtime win over the Blue Jackets.
Groulx signed a one-year, two-way deal with the Ducks on Friday.
Groulx was recalled from AHL San Diego on Tuesday.
Groulx was assigned to San Diego of the AHL on Monday.
Groulx was reassigned to AHL San Diego on Tuesday, Elliott Teaford of The Orange County Register reports.
Groulx was promoted to the taxi squad Thursday, per CapFriendly.