The cricketer, who triumphed with professional dancer Karen Hardy on the 2006 series, suggested that the BBC could recruit him as a temporary replacement for head panellist Len Goodman.
His comments come following the decision to axe Arlene Phillips from the panel in favour of 2007's winner Alesha Dixon.
"I am available if the BBC ever want to give Len a bit of a rest and appoint another former winner to the judging panel," the Daily Express quotes Ramprakash as saying.
On the decision to drop Phillips, he added: "I felt very sad for Arlene because she is very much a favourite of Strictly fans. I sent her an email saying how sorry I was at the way things had worked out. I haven't had a reply and I assume that's because she's been extremely busy."
The new series of Strictly launches on Friday on BBC One.