Sturridge took to social media platform Instagram to make the announcement early Tuesday with videos and pictures of his burgled apartment.
The incident happened on Monday when Sturridge was away and the 29-year-old has released CCTV footage showing three hooded men breaking into his apartment to commit the act.
Sturridge has gone to the extent of revealing his home address in order to get his beloved Lucci back while also announcing that some bags were part of the items that were stolen.
Lucky Lucci has an Instagram account with over 2,000 followers managed by Sturridge.
"Listen, somebody has broken into the house in LA, took my dog, from the house. Listen, whoever knows who broke into my crib, I’ll pay you anything,” Sturridge said in a video posted on Instagram.
"Are you crazy? You come into someone’s house to take a dog?
"Whoever brings my dog back, 20 grand straight up. Straight up. 20 g's. 30 g's. Whatever. Bring my dog back to this house, I'm moving out of this b*tch anyway. I don't give a sh*t about this place. Bring the dog back to this address, I'll be moving out tomorrow or the next day.
"I want my dog back and I'll pay whatever. It doesn't matter the cost. Bring my dog back. 20, 30 grand whatever it costs. You aren't going to get more than that anyway, and if you are let me know and I'll pay more than them. I want my dog back.
Sturridge is currently a free agent after leaving Liverpool at the end of last season following the expiration of his contract.
