Munoz was asked about calls for his resignation as leader of the embattled airline on the ABC show "Good Morning America" following widespread outrage at the company's actions in the incident Sunday.
"I was hired to make United better and we've been doing that and that's what I'll continue to do," Munoz said.
Munoz reiterated his regret at the incident, which mushroomed into a global public relations disaster after video showing passenger David Dao, 69, his face bloodied, being dragged off the plane went viral.
"That is not who our family at United is," Munoz said. "And you saw us at a bad moment and this could never -- will never happen again on a United Airlines flight. That's my premise and that's my promise."
Munoz expressed regret for his widely-criticized initial response to the debacle in which he appeared to put partial blame for the incident on the 69-year-old passenger, saying he "defied" authorities and "compounded" the incident.
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