Gallardo has been linked with a move to Camp Nou amid reports Ernesto Valverde will leave no later than the end of the season.
However, the River coach discussed the rumours ahead of a big finish to the year, including a Copa Libertadores final clash against Flamengo on November 23.
"No party came forward to start a conversation, especially knowing that we are in a very important phase for our club, playing decisive matches," Gallardo told a news conference on Friday, via Globo Esporte.
"Of course there is nothing that takes my focus off the goals ahead."
"I can't echo the rumours," he added. "No one came to suggest a meeting or analysis of what to do in the future.
"This is not the time for that."
Gallardo has been in charge of River since 2014, winning two Copa Libertadores titles.
River are third in the Argentinian Primera Division, a point adrift of Argentinos Juniors and Lanus through 12 games.