The phrase "interfere with how" is correct and usable in written English.
You can use it when you want to describe something that impedes a process or disrupts the flow of something. For example: Unforeseen events can interfere with how a company conducts business.
"A disrupted sleep cycle," she said, "may interfere with how the body stores calories".
Mr. Obama should not let the Republicans' saber-rattling interfere with how he chooses judges.
For the government, this is a deliberate decision not to interfere with how individual headteachers spend their budgets.
One is from doctors who believe policy makers shouldn't interfere with how medical professionals do their jobs.
A series of studies conducted in 2002 among 116 infants by researchers at Johns Hopkins indicated that even moderate background noise can interfere with how they learn language.
Its attempts to interfere with how people drink, dress or kiss were a way of trying to endear itself to a conservative base.
"The bottom line question to ask is, Is your forgetfulness fundamentally interfering with how you function?" said Dr. Cohen.
But critics say that any device capable of interfering with how its owner uses media is potentially dangerous.
If a manager has an appeal and that results in the game being stopped, that interferes with how you and I understand football operates," Regan said.
But it turns out it was also a burden for Rodriguez, because he felt it was interfering with how the Mets were using him as a closer.
Rather, they say the new requirement interferes with how they choose to deal with their patients and does not take into account the nuances of a doctor-patient relationship.
