Cryogonal

Among the Ice Types in Pokemon Go, Cryogonal is definitely nothing special. If you need to freeze something, look to another Pokemon.

Best PvE Offensive Moveset

• Frost Breath is the better fast move for offense. 
• Ice Shard is slightly behind, but the two are very close in performance.
• Triple Axel shares identical typing with Cryogonal's fast moves to fulfill an Ice-type role.
• Aurora Beam is weaker.
• Solar Beam performs the best in neutral fights, but this isn't the best use of Cryogonal. 
• Night Slash is bad and doesn't synergize much with Cryogonal's moves.
• Water Pulse is even worse for offense. 

Best PvE Defensive Moveset

• Ice Shard is marginally better than Frost Breath, but it's a very small difference. 
• Night Slash as a 3-bar move hits frequently and is the hardest to dodge.
• Water Pulse provides coverage against Rock and Fire-type attackers, but has a late damage window.
• Triple Axel is good, but it leaves Cryogonal easily taken down by anything that resists Ice Type moves.
• Aurora Beam is very slow for defense and is way too easily dodged. 
• Solar Beam is less likely to be used before fainting, and is so predictable that dodging would be laughable. 

Ice Shard gives both fair damage and solid energy gain, and is thus the fast move of choice. 

Triple Axel gives Cryogonal a self-buffing move with solid damage output to allow it to snowball pretty quickly, making it a bit of a must-have move for giving Cryogonal a niche. Night Slash gives Cryogonal an interesting niche, and some solid rapid fire Dark-type damage. Water Pulse isn't outstanding, but it gives Cryogonal counter-coverage against Fire and Rock Types, making it situationally worth considering.