It really depends on what the argument was about.
If it was just a stupid argument, but he has a habit of ignoring you for days on end when he's unhappy or when you don't do what he wants you to do, then this is a form of abuse and you need to get out of the relationship. Don't date/marry someone who manipulates you with The Silent Treatment, hanging up on you, etc. If it was just a silly meaningless argument and this is par for the course with him, then break up with him.
But if this is the first time this happened and it's because of something bad you did - did you cheat on him, betray his trust, lie to him, insult him/his family, etc.? - then he has the right to be very upset with you and to take some time/space to decide how he wants to handle it.
If you're dating, then I would break off this relationship regardless ... either he's manipulative, or he doesn't want to be with someone who hurt him so badly.
If you're engaged, I would seriously consider ending the engagement. At the VERY least, get into couples therapy before you move forward with any wedding plans.
If you're married, then get into counseling ASAP.