From BiblePortal Wikipedia

King James Dictionary [1]

Anx'Ious, a ank'shus.

1. Greatly concerned or solicitous, respecting something future or unknown being in painful suspense applied to persons as, to be anxious for the issue of a battle. 2. Full of solicitude unquiet applied to things as anxious thoughts or labor. 3. Very careful solicitous as, anxious to please anxious to commit no mistake.

It is followed by for or about, before the object.

Webster's Dictionary [2]

(1): (a.) Full of anxiety or disquietude; greatly concerned or solicitous, esp. respecting something future or unknown; being in painful suspense; - applied to persons; as, anxious for the issue of a battle.

(2): (a.) Accompanied with, or causing, anxiety; worrying; - applied to things; as, anxious labor.

(3): (a.) Earnestly desirous; as, anxious to please.