Как по английски написание 11:37 дня

Its eleven thirty seven a.m.
Its twenty three minutes to twelve a.m.
Оба варианта допустимы. Если необходимо сказать "в 11:37", то вместо Its нужно будет употребить  At.

Its thirty-seven past ten a.m.
Its twenty-three minutes to twelve a.m.
Its eleven thirty-seven a.m.
Its twenty-three to twelve a.m.