Noticing adverbs are provided in this article. The words listed here are commonly found along with the verb noticing in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb NOTICING.
apparently, barely
finally, hardly
immediately, merely
particularly, really
scarcely, simply
suddenly
Hope this word list had the noticing adverb you were looking for. In addition to adverbs used with noticing, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.