Perry posted a power-play assist, two shots on goal and a minus-2 rating in Monday's 6-1 loss to the Blue Jackets.
Perry signed a one-year, $1.4 million contract with the Oilers on Monday.
Perry scored a power-play goal on five shots and added two hits in Saturday's 6-3 loss to the Maple Leafs.
Perry notched an assist in Saturday's 3-2 overtime loss to the Avalanche.
Perry scored a power-play goal on four shots in Thursday's 4-2 loss to the Blue Jackets.
Perry scored a goal on three shots, added seven PIM and logged two hits in Wednesday's 6-5 overtime loss to the Bruins.
Perry produced a goal and an assist in Saturday's 4-3 overtime win over the Stars.
Perry scored his first goal as an Oiler in Thursday's 6-3 loss to the Blues.
Perry signed a one-year, $775,000 contract with the Oilers on Monday.
Perry cleared unconditional waivers Wednesday, resulting in the termination of his contract with the Blackhawks, Lance Hornby of The Toronto Sun reports.