As noted in the rules text, support targets those creatures, and it doesnt specify who controls the creature targets

With Battle Academy Collection Codes You will get the Following cards in PTCG Live 3 Houndour 033/198 2 Houndoom 034/198 2 Torkoal 035/198 1 Skeledirge 038/198 1 Rotom 069/198 2 Wattrel 077/198 2 Seviper 137/193 3 Crocalor 036/193 3 Charcadet 039/193 4 Voltorb 066/193 3 Electrode 067/193 1 Kilowattrel 082/193 4 Salandit 139/197 3 Salazzle 140/197 2 Larvesta 040/197 1 Volcarona 041/197 2 Yveltal 118/182 4 Fuecoco 023/182 1 Cyclizar 164/198 1 Armarouge ex 105 1 Pikachu ex 106 4 Mareep 107 3 Flaaffy 108 2 Ampharos 109 1 Darkrai ex 110 4 Pawniard 111 3 Bisharp 112 2 Kingambit 113 1 Miraidon 148 1 Mela 167/182 1 Boss's Orders 172/193 6 Picnicker 114 1 Electric Generator 170/198 3 Jacq 175/198 12 Nemona 180/198 3 Nest Ball 181/198 6 Potion 188/198 6 Switch 194/198 9 Youngster 198/198 12 Great Ball 183/193 18 Basic Fire Energy 002 18 Basic Lightning Energy 004 18 Basic Darknes Energy 007 1 Gold Glitter Pikachu, Armarouge & Darkrai coin
FCIL DE APRENDER Y JUGAR
Despite this, there are exceptions to this rule, and one of the most notable instances of a Stadium card being used outside its intended purpose is Levincia
Thistledown Liege is clearly the worst of the lieges, as it is merely a 1/3 for 4 mana, and its keyword, flash, is useful, but only once, so I question how WotC could have designed this creature