The way things go over there, in few years you might not even need to ask the question
I don't know the exact definition of glacier, but what's left is really limited in size (no crevasse to worry about here
Snow condition will be in big part function of the snow fall prior to your trip. Penitentes are always possible due to the wind, but same comment as for the glaciers.
In some icy conditions crampons (and / or ice axe) may make the ascent easier but you don't necessarily have to bring them with you as you can rent them at any of the agencies listed in Arequipa Guided Ascent Arrangers
for a reasonable price (few $/day each).
In terms of interest, Chachani is probably the "easiest" 6000m summit of Peru. Yet I preferred El Misti for its… mysticism. However if you really want to go for interesting climbs in the Volcanoes of Arequipa
range, I would recommend (check the previous link) those of the Cordillera de Ampato (technically more interesting) or the rarely climbed summits of the Cordillera de Chila (most have just had few recorded ascents).
Bonne chance !