Garcia’s day did not get any better, as his side wasted a string of excellent chances against dogged Dijon.
“The fans were good during the match, at the end of the day they’re not happy with results and neither are we,” he told Canal+.
“We weren’t missing much, aggression in front of goal. We’re starting from scratch. When we play a team in the relegation zone, we must win.”
Lyon, who sacked Brazilian Sylvinho, in his first job as a head coach, after only 11 matches earlier this month, have failed to win in eight league games.
The draw left Lyon, who have not finished outside the top five since 1998, languishing 14th in the table after 10 matches, just one point above the relegation zone.
The seven-time French title-winners, who were widely tipped to be Paris Saint-Germain’s closest challengers this season, are 14 points adrift of the defending champions.