i think if your child is already going to sleep at 10 or 11 and waking up at 7 am then they dont need a nap. my son thats adhd stopped naps on his own around 1 yr old but by non adhd 2 yr old still needs them now and then. i think if your 4 yr old was tired very early like maybe 6pm then they prob still need naps. i wouldnt force your child to take a nap, sounds like he/she doesnt need one anymore. u could still do quiet time if u wanted and have your child rest in a quiet room or play quietly. theres not a certain age that they need to have or not have naps. i think u should just consider nap time over with as he/she is prob just trying to let u know that they arent tired anymore!

edit: sorry i just realized that u said your little boy!! wasnt sure if it was boy or girl until i just re read it.