I have shimano 105 5700 compact crank(50-34T). Can I use 53-39T chain rings with compact right arm.
When you're matching chainrings to a crank, you need to match the bolt pattern (i.e. are there 4 bolts, 5 bolts) and the bolt circle diameter (BCD) measured in mm -- the diameter of the circle which all the bolts lie on [or equivalently, the center-to-center distance (C-C) of adjacent bolts. Multiply this (in mm) by 1.701 to get the BCD for 5 bolt patterns, 1.414 for 4 bolt, etc. -- its just a simple exercise in trigonometry to figure this out].
Compact cranks have a 110 BCD with a 5 bolt pattern while a regular road double has 130 BCD 5 bolt pattern.
There are some 53t and 39t 110 BCD chainrings, but they are less common than those sold in 130 BCD. As pointed out by ojs in the comments, Stronglight and TA (among other manufacturers) do make them.
Note that you will also have to adjust the front derailleur (and check everything is within spec for the front derailleur) if you do this swap. And you defeat the point of buying a compact double in the first place.