GloPro put it well. Being an introvert or extrovert will not define how you succeed. There are many more factors involved when defining success.
I found a long list of successful American introverts (there may be a non-American or two in this list), and this only includes actors and actresses, not businessmen like Bill Gates and Warren Buffett (introverts):
Famous Introverts — Actresses
Candice Bergen, actress, writer, photographer
Ellen Burstyn, actress
Glenn Close, actress
Audrey Hepburn, actress
Helen Hunt, actress
Diane Keaton, actress
Grace Kelly, actress
Jessica Lange, actress
Laura Linney, actress
Gwyneth Paltrow, actress
Michelle Pfeiffer, actress
Julia Roberts, actress
Meg Ryan, actress
Meryl Streep, actress
Famous Introverts — Actors
Clint Eastwood, actor/director
Harrison Ford, actor
Tom Hanks, actor
Jack Lemmon, late actor
Bill Macy, actor
Steve Martin, all around talented guy
Noah Wiley, actor
Other Famous Introverts
Johnny Carson, former Tonight Show host
Jane Clayson, host of CBS Morning Show
Matt Lauer, co-host on the Today Show
David Letterman, host of the David Letterman Show
Diane Sawyer, co-host of ABC’s Good Morning America
Barbara Walters, host of 20/20