Fetching details from the dictionary...

to be able to sleep
騒音で全然寝れなかった。
I couldn't sleep at all because of the noise.
緊張していたが、試験前夜もなんとか寝れた。
I was nervous, but I somehow managed to sleep the night before the exam.
暑すぎてエアコンなしでは寝れる気がしない。
It's so hot that I can't imagine being able to sleep without air conditioning.