"squeeze gently" is correct and usable in written English.
You can use it when asking someone to apply gentle pressure. For example, "Please squeeze gently to ensure the paint does not come off."
Rinse briefly with cold water, squeeze gently (you don't have to squeeze dry) and chop.
Holding the bag upright, squeeze gently to pipe a 1-inch circle.
When the gelatine is soft, remove from the water, squeeze gently, then stir into the warmed juice until dissolved.
Blanch the spinach in boiling water for 10 seconds, or until just wilted, drain and squeeze gently with tongs to expel excess liquid.
Squeeze gently from the top of the bag.
Remove the black parched skin, then squeeze gently to remove any juices.
Drain bread, squeezing gently.
Leave for 30 minutes, squeezing gently to remove most of the liquid from the cheese.
Allow the beans to cool for several minutes, then slip off their skins by pinching off the eye of the skin and squeezing gently.
You can either leave it to drip through of its own accord or you can gather up the cloth and encourage every last drop out by squeezing gently.
When cool enough to handle, pop the beans out of their leathery skins by squeezing gently.
