I believe it used to be on the junction of Rayyan Road and what was known as the Gulf Link Road (turn left at the roundabout for Jaidah Flyover). It was on the right opposite Mannai car showrooms.
I appreciate the directions are a tad vague.
Some of the more "well off" locals were known to have private zoos. The ex Foreign Minister (our neighbour at the time) sent some of his staff round one Friday morning to tell us that a wolf had escaped and to take care. We had a monkey visiting us at one time but that's another story.