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Assuming you mean the whole box (name, level, gender, exp), go into the PokeBattle_SceneConstants script section and find this piece of code (lines 19 - 25 in a clean project if I'm not mistaken)
Code:
# Coordinates of the top left of the player's data boxes
PLAYERBOX_X = Graphics.width - 244 # box itself
PLAYERBOX_Y = Graphics.height - 192 # box itself
PLAYERBOXD1_X = PLAYERBOX_X - 12
PLAYERBOXD1_Y = PLAYERBOX_Y - 20
PLAYERBOXD2_X = PLAYERBOX_X
PLAYERBOXD2_Y = PLAYERBOX_Y + 34
PLAYERBOX_X/Y is the databox location in a normal single battle.
In double battles, PLAYERBOXD1_X/Y is for the first Pokémon, and PLAYERBOXD2_X/Y is for the second Pokémon. Just play with those values until you're happy.