Hi, is it possible in wp8.1 let the screen off when a notification arrives? Right now the screen turns on and shows the push, but id like to let it stay off. Is there any option i didnt see?
No.
You can either use "Quiet Hours" feature from Cortana or turn off notifications completely from settings.
You can have live tiles pinned which will show notifications on them.
Settings->notifications + actions. (or 'action center', I forget what the option is called in Wp8.1)
There's a setting for 'Show notifications in action center when my phone is locked'. Turn this off.