I am a 21-year-old Muslim girl living with my parents. They don't respect my boundaries, and I cannot live with them anymore. Is it okay to ask them to arrange a marriage for me to move out?
Women have looked to marriage to escape difficult family situations for ages, and it is natural to want to get married at your age.
If you choose that route, be sure that the person you marry is a good choice (as much as you can tell) so that you go into a better situation, not a worse situation.
Sometimes girls tend towards marrying someone like their father, because he is a familiar model of manhood, and if he has some difficult traits, be sure those are not found in your future husband.
Also, my personal advice is, do not tell your future husband that you married him to leave home, because that can make you seem vulnerable or might make him feel unwanted. Rather, just focus on building a life together and the positive aspects of being together.
If you can move away for university, study abroad, work, or other opportunities, that may also be an option. Financial independence can give you security and let you marry by choice rather than necessity.
In any case, it is good to have some idea what your expected future direction might be - for instance, does your family expect you to marry, do they expect you to work, do they expect you to stay home and keep doing the same thing, etc. It sound like there might not have been much guidance or discussion in this area.