Strong played a montage of Barbara Walters impersonations throughout the years.
"What an honor it was to see my groundbreaking career in journalism reduced to a cartoon character with a ridiculous voice," Walters responded.
When Strong called Walters an inspiration, the 84-year-old hit back, "Well, but I'm a real news anchor. I'm not like some fake anchor like you."
Strong then reminded Walters that she co-hosted The View.
Walters will retire May 16.
Swim Week Miami Beach 2014 [PHOTOS]