Page 1 (1.70.80 P1) GENERAL has
ENG MAN START and ENG 1(2) ANTI ICE pushbuttons as inputs to the
Engine Interface Unit (EIU) which controls
ECU and FADEC which contols the igniters.
But not displayed on ECAM. So since the ECAM is the pope when it comes to infalliblity, you will have to check with your engine mod to see if the igniters are indeed firing or not!
But jetjock is correct - chance of flameout very unlikely with today's engines. You need three nozzles of foam fired into the engine to flame it out. Not enough water or ice in a red thunderstorm cloud to do this.