Pat Burke is unsigned. Last year in the Euroleague, he averaged 10.7 points, 6.9 rebounds for Prokom Sopot of Poland, but they did not bring him back this summer.
Pat Burke is also 36, so he may be unsigned from here on out. I'm assuming he's retired, but the only thing online I can find that suggests that is this. And I don't think the seminal sentence "Pat Burke announced his retirement from pro baskeball dis summer!!" is quite the authentication that I'm looking for. But it's a hint, at least.
Note: Non-US teams that the player
has played for are, unless stated otherwise, from the top division in
that nation. If a league or division name is expressly stated, it's not
the top division. The only exceptions to this are the rare occasions where
no one league is said to be above the other, such as with the JBL/BJ League
split in Japan.