First thing's first, are you male or female? most replies here seem to think the latter.
I think the consensus so far is that you should go through with what your parents want, and I say I agree. Sorry to be a bit blunt, but if you;re getting your master's then, you should be mature enough to get married, unless your one of those genius kids that skipped 4 years of school. If you wait to search until after you finish your degree, then you might run into problems like being rejected for age differences.
If you're a girl, go to the GS wedding forum and you will definitely be mentally prepared to get married- there are a barrage of daydreaming girls, bride-to-be's, and newlyweds that talk about nothing but the big wedding day and their wonderful hubby and with all the discussion, you'll be sure to start planning your own wedding and will want nothing more than to get married ;). just take a look at those wedding highlight videos... If you're a guy, and are concerned about A) the commitment B) the responsibility or C) leaving bachelorhood, then get to know other muslim brothers that are married or were married at your age, talk to them and see what their life is/was like. It may actually be wiser for you to wait until you have a job.
On a serious note, the search process takes time, which can range from months to years. You're parents are right, you can get engaged while studying, and get married whenever you're ready. your parents aren't saying don't go for the master's.
When I started professional school, almost everyone I knew was engaged, in a serious relationship, or married, so your age is about right. Once you start school, you'll see the singletons fret over finding the right person or getting married, so there's no harm in starting to look now and being ahead of the game :). Start inviting prospects, theres a very very low chance that you will accept your first rishta, so don't worry so much, these first few will give you a chance to loosen up and get used to the process before the ones that matter come along.
Snazzy,
Firstly,I am a female. I didnt skip school or anything. As i have already mentioned in a post, i am 23 years old yes mature of age for marriage but not ready for it. Well, i think you all are right that i should let my parents go forward with it and if they want an engagement fine with it but i will make sure in telling them that i will get married after my Masters only i.e after 2 years as i dont think i am one of those people who can balance studies with married life.