Depends on the heel pain you have. Indeed, many runners continue to run with their symptoms. However, running with plantar fasciitis hasn’t been widely studied.
If you are going to run, then you need to take extra care of your feet.
Stretching should already be a fundamental part of your exercise regimen, but even more so with PF. Ensure that you stretch both feet; this can help to prevent PF from developing or from worsening.