With your eyes shut/closed - Idioms by The Free Dictionary
with your eyes shut/closed
with your eyes shut (or closed) 1 without having to make much effort; easily. 2 without considering the possible difficulties or consequences.
1 1994 New Scientist I can knock off pages of eco-babble for the UN with my eyes shut.
(be able to do something) with your ˈeyes shut/closed (be able to do something) very easily, especially because you have done it many times before: She’s driven up to Scotland so often that she can do it with her eyes shut.