Emotionally if your parents are involved, practically with the major-switching system, etc?
For my D it was no issue. She spoke to us and her logic made sense. She sent an email to the Registrar early in the summer and it was all handled – including adjusting her schedule as she requested and changing her academic advisor to someone in her new department… (She went to a LAC so it may be more complicated at a larger university)
It depends on the college and the major you want to change to, neither of which you named. You can web search “[college] change major [new major]” to see what you need to do. What class standing in college you have and what courses you have taken are also relevant.
If your parents forced you into your current major or otherwise do not approve of the change of major, that is a matter that depends on your relationship with your parents. If they are paying or cooperating on necessary financial aid forms, they have absolute veto power over your college choices, so it will be less a negotiation and more of a supplication from your point of view.
It also depends what year of college you are in.
If you are freshman or sophomore, then you probably haven’t officially declared a major yet. You would have to see if you can take different pre-req classes next semester or over winter/summer sessions.
If you are a junior, then you need to talk to your adviser about how you could graduate on time if you changed your major. I would also talk to my parents about if they can afford summer sessions or another year of school.
If you are a senior, honestly I would try to just graduate and not get a job in that area or get a masters in another area.
On the other hand, if this is a " you must major in engineering or we won’t pay for college"…then you have to ask…is that a bluff? What if you say “Fine, i won’t go to college now.” Would that be worse for them? Would they be ashamed their child isn’t going to college?