Martinez has performed sell out shows in many countries including Australia, Canada, Ireland, Malaysia, Singapore, South Africa, the United States, performing at Caroline's on Broadway, 92YTribeca and the Upright Citizens Brigade Theater (all in New York City), and the Laugh Factory and the Comedy Store (both in Los Angeles).
She has organised many charity shows featuring comedians such as Jo Brand, Johnny Vegas, Al Murray, Richard Herring, Stewart Lee, Jeremy Hardy, Lee Mack, Mark Thomas, Rhod Gilbert, and Milton Jones.