What kind of magic do you like?

After casting Anti-Magic on them, can your spellcasters still cast spells? For example, can a Death Knight cast anything after Anti-Magic is applied to them? Neither my units nor my hero can.

They can.
The description of Anti-Magic in the game is: "the target gains immunity to magic for the duration of the battle.
Features: when Anti-magic is cast, it acts identically to the Dispel spell; Anti-magic does not prevent the spells Town Gate (only if it is not cast on the hero using Town Gate), Stun, Binding, and Smoke, and does not prevent increasing the stack of created units using the corresponding spells from the Summon group.
Possible errors related to the spell: Anti-magic does not remove the spells Poison and Plague, and the target continues to receive damage from these spells.
Also present in the game as: a property of Black Dragon units (n/a)."
I don't see anything similar to what you're saying.
P.S. Kind people, maybe someone can explain this interesting situation :).
P.S. 2 Maybe we have different versions of the game? Mine is 3.0.0.2.