Which wrist you decide to wear your anti static wrist strap on is often a matter of personal preference.
If you have the grounding point for the wrist strap cord on your left you may find wearing the wrist strap on your left makes the most sense. That way the cord isn’t dragging across your work.
However, you may find that it is better for you to move the grounding point to your right and then wear the wrist strap on your right hand.