Here is the full list of all 16 Zero Hour achievements.
Pick up the attacker’s gun
You have gone through the training ground tutorial
Place and Utilize Spy Cam
Get your first grenade kill
Get a C4 kill
Get a good Training Ground Time
Get a kill with a door trap
Defuse a bomb
Survive a 1v1 situation
Kill all of the enemy team single-handedly
Extract hostage
Reach Top Tier
Reach Tier 4
Reach Tier 6
Reach Tier 9
Reach Tier 2