When taming. Build 4 stone dinosaur gates all in a row with small gaps, the place a door on both ends. Kite the Argy into the pen while the door is open. However take a long run up as the Argy needs time to adjust to a straight line. When it is the trap with you, run through a gap and close the door. Lol it and enjoy!
An argentavis can't fit through a ceiling with one tile missing, but a pteranadon or lymantria can. Build a trap with one corner ceiling missing, aggro the argentavis, fly in one side and out the missing ceiling tile, and land. Dismount, run around, and close the entry door. Tame safely at your leisure.