Barca paid Bordeaux £37.3million for the Brazilian in the summer, snatching him from the grasp of Serie A giants Roma.
But he has endured a difficult first few months at the Nou Camp and played just 105 minutes for the LaLiga champions, 25 of which have come in the league and the remaining 80 last night.
He took to Instagram to voice his opinion, insisting he wants to stay and fight for his place.
Malcom, 21, said: "About a story that was broadcast here in Spain.
"I want to clarify, I came to Barcelona with many goals and those who know me know that I am a very determined person.
"I am very happy with every evolution in my career and I know that with each passing day my dreams and goals are coming true.
"My family is also very adapted to the city. Anyway I'm going to keep fighting for everything I want in my career."
It is bad news for North London rivals Arsenal and Spurs who were both thought to be keen to offer Malcom an escape route.
Alongside 2017 signing Ousmane Dembele, the Brazilian has struggled under Ernesto Valverde.
Last night the pair were given the chance to start as Barca took on Cultural Leonesa in the Copa del Rey.
But neither player stepped up to the occasion and with it surely threw away any chance of starting in the league anytime soon, especially with star man Lionel Messi back in training.
Barca scraped a 1-0 win over the Segunda Division B side, with substitute centre-back Clement Lenglet sparing Valverde's blushes after fielding a youthful side.
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