Yeah, they’ve spread across cities quite successfully, especially the ringnecks, they have breeding colonies in cities all around the world. These species adapt well in the city life apparently

The parrots are likely either indian ringnecks or monk parakeets, they’re the most common invasives, I think former the most - they’re also very common as pets. I know there’s some alexandrine parrots as well (they look like big ringnecks) and even amazon colony at least in one city, but they’re a lot rarer.
Ringnecks are really fast and skittish, and since they’re so intelligent it really is difficult to catch them. You likely have to change the method or at least the placement of the trap if you fail the first time. And if they see you do it, they’ll learn to avoid you as well