Hi H.,
First of all, why are they keeping him? Does he have something wrong with him? If he's breathing on his own, and can hold his body temperature...there's NO reason for him to be there. I'm a doula, and one of the last moms that I attended ended up with a c-section at 35 weeks for placental abruption. He was 5lbs 7oz, and was perfectly healthy. By 12 hours old he was breathing on his own, holding a perfect temp, and had no problems nursing. They continued to do test after test without the parents knowing, and wanted to continue to keep him....when he needed to be with his mama. Kangaroo care ( where he's on your chest, skin to skin ) is the BEST thing for premature babies. It can help to regulate any uneven breathing patterns, as well as create a bond and a better breastfeeding start.
If there's nothing wrong with him, sign him out. The longer they have him, they'll find something "wrong" that's NOT actually wrong...and the longer you'll be without your son. He needs YOU.
And as an end note...I sympathize. My son spent 9 days in the NICU because I was an idiot and had a c-section for a non-emergent reason ( they told me he'd be too big ) and he had severe respiratory distress. It absolutely killed me. So I understand the heartache of going home without baby. I can't emphasize it enough....IF THERE'S NOTHING WRONG WITH HIM, BRING HIM HOME. If you want to talk with me over the phone, I'd be glad to. Just message me back privately and I'll send you my number.
ACK!!!!!! And I'm sorry, but these responses saying that the best care he can receive is from the DOCTORS is an ignorant way of thinking. That baby needs YOU. He needs YOUR skin. Not a doctor's gloved hand. Especially if he's there JUST FOR OBSERVATION with being early....he needs to be with YOU, mama.
When did technology become a replacement for maternal touch? Kangaroo care is statistically shown to majorly improve a preemie's condition.