asc=Association["a"->Association[1->1], "b"->Association["c"->Association[1->1]]]

(* <|a-><|1->1|>,b-><|c-><|1->1|>|>|> *)

DeleteCases[asc, _Association]

(* <||> *)

DeleteCases[asc, _Association, {2}]

(* <|a-><|1->1|>,b-><||>|> *)

DeleteCases[asc, _Association, {1,2}]

(* <|a-><||>|> *)