The sentence "I hope everything goes back to normal" is correct and completely usable in written English. You can use it when you want to express a hope for a situation to return to its original state. For example, you might write, "After months of upheaval due to the pandemic, I hope everything goes back to normal soon.".
"I hope everything goes back the way it used to be, being with my family and being able to talk to my community again".
There are chauvinist outbursts in Costa Rica, illegal migrants' raids and deportations, but then everything goes back to normal.
"This drought is not a one shot deal [in which] when it goes away, everything goes back to normal," said Bill Patzert, a climatologist for the Jet Propulsion Laboratory in La Cañada Flintridge.
Therefore we are postponing distributing the uniforms until everything goes back to normal".
Our plan is to compensate civilians after the liberation of Aleppo and let everything go back to normal.
This unusual frequentation caused RH and temperature fluctuations and everything went back to normal when the museum reopened.
She slept for 100 years, the prince arrived, kissed her and everything went back to normal -- actually, more than normal, everything became a dream.
Being a terminologist, I care about word choice. Ludwig simply helps me pick the best words for any translation. Five stars!
Maria Pia Montoro
Terminologist and Q/A Analyst @ Translation Centre for the Bodies of the European Union