According to wikipedia, Tennessee has banned them.
Black-hooded Parakeet - Wikipedia, the free encyclopedia
I'm also guessing that since they refer to them as the Black-hooded Parakeet that they are being compared as very similar to Monk Parakeets.
Here are some links from someone else's post on the subject. The interesting part is all the changed proposed in the Meeting Agenda PDF, on page 43 of the PDF, page 40 of the print numbering.
Existing Pennsylvania Code this proposal would amend: (monk parakeets already prohibited)
See - Section 58 - Recreation, Part III - Game Commission, Chapter 137
Browsing the Pennsylvania Code
The Agenda for the 1/27 - 1/29 meeting is at this link:
Pennsylvania Game Commission - State Wildlife Management Agency: Board of Game Commissioners to meet on Jan. 27, 28 and 29
The contact information for the Game Commission is
Pennsylvania Game Commission - State Wildlife Management Agency: Contact Us