That is a patented Amy hug, with which Shadow is somewhat familiar. He remembers when she mistook him for a certain blue hedgehog after all. At first, he doesn't say anything. Taking note of slight tremble but not mentioning it, since last he knew of Miss Rose was she was working with a bunch of others to take care of the aftermath of everything with Eggman.

"The same," he finally speaks, lightly patting her on the shoulder but not really returning the hug. He isn't much of a hugger after all.