Power Squeeze is out of Callmethesqueeze (Awesome Again), a multiple stakes winner with three Listed wins, who also produced the Listed winner Call On Mischief (Into Mischief) in the US.

Second dam Mop Squeezer (Roanoke) was a multiple stakes winner in the US and Grade 2-placed. Among her seven winners are also the Listed winners Squeezer's Palace (Ecton Palace) and Royal Squeeze (Wildcat Heir), the nine-time winner Burley's Gold (Touch Gold), placed at Grade 2 level, and the Listed-placed Kings Over (Trippi), who won eight races.

Third dam Honey League Girl (Honey Jay) was a black-type winner in the US.

This is also the family of Faypien (Ghostzapper), winner of the Grade 2 Summertime Oaks and second at Grade 1 level.

Callmethesqueeze has an unraced 2-year-old filly, Starship Athena (Street Sense), and a yearling colt by Liam's Map. She had no foal this year and has been covered by Jackie's Warrior.