Interacting adverbs are provided in this article. The words listed here are commonly found along with the verb interacting in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb INTERACTING.
actively, actually, closely
constantly, continually, directly
dynamically, effectively, mutually
physically, socially, strongly
weakly
Hope this word list had the interacting adverb you were looking for. In addition to adverbs used with interacting, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.