"I don't think Donald Trump's remarks reflect the Republican Party," Perry says.
The campaign says 99 percent of the donations were for $250 or less.
The Democratic presidential hopeful has doubled his support, gaining on Hillary Clinton.
An aide said he will file the required paperwork on Thursday.
"It was wrong 100 years ago and it’s wrong today,” he writes.
Forty-six percent of Americans identify as Democrats or leaning Democratic, Gallup found.
De Blasio told the AP that Trump's comments were "disgusting and offensive."
The 2016 Republican presidential contender refused to back down in a Wednesday interview.
The Democratic presidential candidate reportedly spoke to 10,000 supporters Wednesday.
“I think the American people are really going to be pushing back on this."