Strangely, Guardiola cited an example that featured his own Bayern Munich player, Kimmich, with whom he had a similar altercation after a game in March 2015 although the City manager still insisted he meant no disrespect to Southampton or their manager Mauricio Pellegrino, his former Barcelona team mate.
"What I said is what I said and what Nathan Redmond said in his statement yesterday", he continued.
Smith told Sky Sports that referee Jon Moss even apologised to him after the game.
"I played against millions in managers and the different ways they play", he said. If people don't believe me, we should cancel our press conference.
The Southampton winger took to Twitter to reveal what was said to him by City's manager, stating that Guardiola was telling Redmond to attack his team more in the same way he did last season.
In a post on social media, the Southampton forward said: "When one of the world's best managers compliments you or gives advice in any way, you listen".More news: Selena Gomez Cries Through Emotional Billboard Women in Music Speech
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"I think he played well and our reaction in the second half was good, especially in the wide areas where we arrived many times making chances".
Guardiola, who has until December 4 to respond to the FA, said after Wednesday's match that the reason he appeared to be exchanging angry words with Redmond was because of Southampton's "time-wasting" tactics. "Last season he destroyed us here and I didn't know him".
Guardiola approached Redmond moments after Raheem Sterling had scored a 96th-minute victor for the league leaders at Etihad Stadium.
"I know Pellegrino wanted to win the game, definitely". I never judge and never will judge the way my opponents play against my team. But they didn't want to play, they were time wasting from the ninth minute.
'They didn't want to play, and that's very hard to face. Never, never in my career and in press conference, on the pitch and off the pitch was I disrespectful about what they do to beat me.
Guardiola apologised to referee Paul Tierney for his manic goal celebration when scored another sensational late victor to keep City eight points clear at the top of the. It's really frustrating for us but I am happy for them.