The Facebook founder responded "I don't know" when asked whether his platform would allow a hypothetical ad.
The New York congresswoman's endorsement provides a jolt of energy to a presidential campaign seeking to regain momentum.
The Washington Times was shredded on Twitter for writing about the Democratic lawmaker's hair and proving it does not know how much women's haircuts cost.
"Seems more like a 'I-Struggle-With-Masculinity Parade to me'" Alexandria Ocasio-Cortez tweeted.
The president’s tirade against "the Squad" continues with more tweets.
Alexandria Ocasio-Cortez and three other Democrats - Ilhan Omar, Rashida Tlaib and Ayanna Pressley have condemned the US president's tweets.
The president had urged the Democratic congresswomen to "go back" to the countries they came from.
The president lobbed an inaccurate attack at several Democratic lawmakers on Sunday, saying they should "go back" to the countries they came from.
"I‘ve had mornings where I wake up & the 1st thing I do w/ my coffee is review photos of the men (it’s always men) who want to kill me."
Dagen McDowell ended a discussion about the New York congresswoman by saying, "Beauty fades, stupid is forever."