Make Animal sticky to bricks

Hi all I am new to unity and I have been making a brick destroyer game. However I am now adding in a new element where you have to save animals in the world instead of destroying all the bricks for completion.

I have this animal in the scene (see picture) At the moment it can rest on the bricks however when knocked by the ball it then gets thrown around the arena. What is the best thing to do here to stop that happening.

I want the animal to stay in place until the bricks underneath disappear and then it falls to the ground :)

All help for this newbie will be very grateful.

Thanks in advance