Well, since both monsters are Summoned during the resolution of the same chain, they technically trigger at the same time.
Per the "Simultaneous Effects Go On Chain" Rules, mandatory effects (which both of them are) activate first, with the turn player's one having absolute priority. From the situation, we can guess the turn player is the one who is Summong "Z-ARC". Therefore "Z-ARC" is Link 1, and "Azure-Eyes" is Link 2. "Azure-Eyes" resolves first, and then "Z-ARC" does, meaning your Dragons are safe. --XBrain130™「Xブレーン130」 00:17, July 18, 2017 (UTC)