He was the county's leading wicket-taker for the 2009 season, with 46 first-class scalps at an average of 32.
But the seamer, who played the last of his 67 Tests for England in March 2008 and lost his central contract later that year, was left unhappy when negotiations over a new deal broke down.
Speaking on Monday, he told BBC Radio 5 live: "I'm looking for a job. I'm still fit, I didn't miss any games last year through injury.
"I'm the leading wicket-taker, I've got a lot to offer and my experience is second to none in the County Championship."
Leicestershire have struggled in recent seasons, and finished bottom of Division Two in the County Championship last season.
They have been criticised for signing South Africans in recent years, but have also lost some of their best homegrown players - like Stuart Broad and Luke Wright - to counties who can offer more money.
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