Griffiths has not made a first-team appearance for Posh since moving to London Road on a permanent deal, having previously been on loan, from Dagenham & Redbridge in January 2010.
The 27-year-old has had loan spells at Chesterfield, Crawley, Rotherham and most recently this season at Plymouth and is now a free agent.
Despite playing no competitive football since that stint at Home Park, Griffiths insists he is ready to go straight into the team when a club snaps him up.
"I enjoyed it at Plymouth and I'm looking forward to hopefully finding somewhere where I can play regularly again," Griffiths told Press Association Sport.
"That loan helped me get my match sharpness back and I've been training every day with Peterborough since, so if anyone needs a left-back then I'm ready. I'm ready to go straight in if I'm needed.
"Hopefully there will be some interest because sitting on the sidelines, like I have been at Peterborough, just isn't me."
- Sports & Recreation