The Frenchman's side have picked up just five points from their first three games of the season after another draw on Friday night
PSG were without Zlatan Ibrahimovic, Thiago Motta and Thiago Silva for Friday's clash and as a result clear chances were few and far between.
Yohan Cabaye was also shown a red card to compound a disappointing night - which leaves the French champions on five points after three games, but Blanc is refusing to panic.
He said: "Evian wanted to keep things tight and defended well. We were not able to ask them any questions with 11 men, so it was harder to do than 10.
"Considering the appearance, this point is a good one for Paris and Evian. We did not quite create a dangerous situation to win. So it's a mixed feeling a little, but there is no need to worry."
Blaise Matuidi was also quick to acknowledge Evian's defensive resilience and said he and his team-mates must move the ball quicker to break down their opponents.
"Tonight, we ran into a team that had conceded nine goals in two days and therefore didn't want to attack," he added.
"They were very well grouped and we struggled to break through the lines. This is what we missed, playing faster."