Small black holes could certainly exist near the galactic center. If a black hole comes into existence it will have a number of possible fates, as I see it.

1. It can orbit the galactic center, after all that is probably what it was doing before it became a black hole.

2. It can spiral in and merge with the massive black hole that already exists at the galactic center.

3. It can be ejected from the galaxy due to gravitational perturbation by other suns and/or the central black hole.

And remember that all of these situations take time to develop. Generally all the members of a galaxy are traveling at relatively low velocities. Our sun is traveling at around 220 kps, not very fast. So any of these 3 fates for a black hole will take millions of years to come about.

Bill Gill

C is not the speed of light in a vacuum.
C is the universal speed limit.