Then one day, just for the heck of it, I tried the football hold (baby's body under your arm, like a person carrying a football, his head cradled in your hand, and latched on that way, his torso alongside yours (under your arm), and his legs and feet sticking out behind you), along my right side. It worked like a charm! For several weeks we would nurse that way...latching him on to the left via a traditional cradle hold, but using the football hold for the right breast.
When he got a bit bigger, I figured out that I could cradle hold him as if I was going to put him to the left breast, but twist my upper body around enough to actually give him the right breast.
Also, and this really helped, I figured out that if I was nursing him while we were laying down, I could lay on my left side, and feed him "normally" (from the left breast) or angle myself over him a bit and give him the right breast, which he would take with no problem from that position.
Eventually he started accepting the right breast in a traditional cradle hold, but to this day, if he's tired, or upset, or anything, really, only the left breast will do the trick.
So, in summary, if your baby expresses a strong preference for one breast over the other: