Place pomegranate arils in blender and pulse until liquified. Pour liquid into sieve placed over bowl, and using a rubber spatula or back of a spoon, push the liquid through. Discard seed remains.
Combine pomegranate juice, Meyer lemon juice, honey, apple cider vinegar, and Dijon mustard. Whisk together until well blended.
While whisking, pour in olive oil until combined. Add in zest.
Place in airtight container or cruet and store in refrigerator up to 1 week.