Using pronouns with verbs is ALWAYS required in English :) This is because the verb on its own does not give us enough information to figure out how is doing the action. 'Wants' could refer to 'she wants', 'he wants', 'it wants', 'one wants' and we like to be very clear (even if we could probably guess from context in this situation.) Good luck!

This man is going to school even though he wants to rest. (he) is not optional here,

No.