Shasta daisies are meant for full sun. They may grow in partial sun, but they will not be as strong as they would be in their full sun habit. You may end up with shorter, thinner plants that seem to limp along.
You can pot them up but they will still go dormant. It's best to cut them back after first frost and they'll come back in spring. If they are in the pot now, cut them back after first frost then put them in an unheated garage, basement, etc. If you have them in a pot already outside and the pot is too large to bring inside, just cut them back and they'll come back in spring
