This question could be a way for you to flip the tables and find out what schedules they work and what they wanted the new hire to work in. Be sure to voice at this time if day shift is the only shift you can work because of other obligations.
"I'm available to work any shift you need me on. What shifts do you all have here? Was there one that you needed me to fill? "
"My ideal schedule would be day shift but I'm able to work any shift with a few days notice."