Mike's first order of business was to stay safe, and he knew that wasn't going to happen with him standing on top of her purse where Anna could find him. Instead, he needed to find a hiding space. His best bet was obviously the couch, under which he would be able to hide while still seeing most of the room. He figured that he had a few minutes while she was still in the bathroom, and sure enough, he managed to slide down off the purse and run several hundred yards to the couch without much trouble. By the time she came out of the bathroom, Mike was well hidden from sight.
Anna sat down on the couch, high above him, though Mike still had a nice view of her shoes and calves in front of him. As he was sitting there watching, without a whole lot to do otherwise, he noticed a suitcase in the corner. Shit. All that work, and then she might go leave for vacation, leaving him in an empty apartment. Maybe he should have stayed in the purse after all.