It also helps to move your arm around rather than keeping it close to your body in a fixed place wich is ieasy to do when there is pain. Also, massage the area and your arm and axilla gently. KAT
Yes, it's normal, also if you still have some bruising and.or swelling.
I think after a week this will get better, and you may want to take some Advil which may help.
if this continues past a couple of days, call your doctor, OK? If the pain is severe, call for a stronger pain medicine. KAT