Your opponent is wrong.
Fair Play on Chess.com: What you Need to Know
What are the rules?
- No chess programs or engines (e.g. Chessmaster, Fritz, Komodo, Houdini, Stockfish, Chessbase with any active UCI engine, etc.) can be used to analyze positions in ongoing games at any time.
- In Daily Chess (turn-based games with several days per move), you may consult books or databases (including the Chess.com Explorer) for opening moves. "Tablebases" - which are specialized databases of particular endgame positions - may NOT be used at any time. Further, you may not consult an engine to provide an opinion on your opening database, self-preparation or analysis that would relate to a particular game-in-progress on Chess.com.
- In Live Chess, no outside assistance OF ANY KIND is permitted.
- Fixing game results by playing with multiple accounts or losing intentionally is also against the rules.
I have been using the explorer to learn common openings whilst playing correspondence chess.
I have an opponent who says I'm cheating and likely to get banned... Do I need to worry??