Cook adverbs are provided in this article. The words listed here are commonly found along with the verb cook in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb COOK.
actually, briefly
evenly, gently
properly, quickly
really, slowly
thoroughly, usually
Hope this word list had the cook adverb you were looking for. In addition to adverbs used with cook, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.