Phypers claims in a statement to PEOPLE that Richards "never has wanted knowledge or wanted to give her permission to any type of care for the animals"

Richards accused Phypers of having their dog put down after her impromptu pop up at their Calabasas, Calif., home.

Aaron Phypers has claimed Denise Richards had shown no interest in their pets for the last two years, despite her apparent fury after one of their dogs was put to sleep.