Edmonton assigned Quine to AHL Bakersfield on Saturday.
Quine was placed on waivers Monday.
Quine signed a one-year, $750,000 contract with the Oilers on Friday.
The Flames reassigned Quine to AHL Stockton on Sunday, Pat Steinberg of Sportsnet 960 The Fan reports.
Quine has been held off the scoresheet in five November appearances.
Quine scored a goal on his only shot and had two PIM in Thursday's 6-5 overtime win versus Nashville.
Quine was recalled from the AHL by the Flames on Friday.
The Flames reassigned Quine to AHL Stockton on Tuesday, Pat Steinberg of Sportsnet 960 The Fan reports.
The Flames recalled Quine from AHL Stockton on Sunday, Kristen Anderson of The Calgary Sun reports.
Quine was waived by the Flames on Monday, Derek Wills of Sportsnet 960 The Fan reports.