No it doesn't. The Pokemon has experience, but the exp. bar only goes up when you train it. Anyway, you D/C'ed and the Parasect is actually totally crap so I guess we're not trading.
Well i caught it at lev 52 on my leaf green, i havent trained it, just taught it sludge bomb,
caught it in cerculean cave ot ash (my leaf green account) id no 60929
I havent touched it really except to put it on my platinum lol