1 Animator Controller 2 Animations at the same time

I have an object setup that uses 2d sprites as parts to make the object in a Hierarchy. The Animator is the Parent with the children being the parts that make up the parent. I have one animation that is a background loop animation and one foreground animation that, depending on user input, changes the foreground animation, which is not looped.

I am trying to have one animation looped while various user picked animations run on top. I know this can be achieved using two different Animators, but is this the best/only way? Basically, can the Animator ONLY animate one sprite at a time?

Thanks