The Girlfriend singer took action to officially end her three-year marriage to the Sum 41 star at a Los Angeles court last Friday (09.10.09), citing irreconcilable differences.
She is asking for a ruling to block Deryck from receiving spousal support.
Avril split from Deryck in September but insisted their break-up was amicable.
The 25-year-old star wrote on her blog: "Deryck and I have been together for six-and-a-half years. We have been friends since I was 17, started dating when I was 19, and married when I was 21. I am grateful for our time together, and I am grateful and blessed for our remaining friendship.
"I admire Deryck and have a great amount of respect for him. He is the most amazing person I know, and I love him with all my heart. Deryck and I are separating and moving forward on a positive note."
Before the split, Avril was reportedly seen flirting with oil heir Brandon Davis after spending a month partying on his yacht in the South of France.
However, sources close to Avril insist she and Brandon are "not involved romantically" and are "just friends".