In the early 1980s, Green led his own group, Fingers, featuring Lol Coxhill, Bruce Turner and Michael Garrick.

[2] Green regularly backed visiting American stars at Ronnie Scott's Jazz Club, including Coleman Hawkins, Ben Webster, Roland Kirk[3] and Sonny Rollins.

Green has also performed and recorded with Dave Newton, Didier Lockwood and Spike Robinson.

In 1991, Green was a founding member of Charlie Watts's quintet, together with Gerard Presencer, Peter King and Brian Lemon.

[4] Since 1998, Green has led a trio featuring Iain Dixon and Gene Calderazzo,[4] and since 2009, he has been a member of The ABC&D of Boogie Woogie, with Ben Waters, Axel Zwingenberger and Charlie Watts, performing at the Lincoln Center with Bob Seeley and Lila Ammons.