Romney suggested that the non-profit public broadcaster should air advertisements instead to make up for the loss of federal funding.
PBS President and CEO Paula Kerger told USA Today: "I'm glad that he said that he likes public broadcasting."
Kerger added: "I think that what we hope to do is to make it clear that we have broad support from the American public."
She also said that PBS won't be able to run ads because it would be a violation of the Federal Communications Commission (FCC) regulations.
PBS, whose shows range from Sesame Street and Teletubbies to History Detectives and NOVA, would also have to change its programming to attract advertiser-friendly crowds if it chooses to run ads, Kerger added.
Romney recently made news after comparing President Barack Obama's promises to Kim Kardashian's 72-day marriage.
In November, PBS launched a new UK channel on cable and satellite.
NOVA will return tonight at 9pm ET with new episodes.
Watch a preview of NOVA's 'Deadliest Volcanoes' segment below: