Chelsea has not lifted a trophy since their 2019 Europa League success under Maurizio Sarri. The side remains in contention for the Champions League and FA Cup this season.
Kovacic admitted he was worried at one stage but now is confident that the season will end well for the team if they maintain their consistency.
Hakim Ziyech and Emerson scored one goal each in the match to power the Premier League side into the quarter-finals of the competition.
Ben Godfrey's own goal and a second-half penalty by Jorginho maintained Chelsea's unbeaten run under head coach Thomas Tuchel with a 2-0 win against Everton in the Premier League.
The game looked destined to finish goalless only for Atletico to briefly lose shape, allowing the instinctive Giroud to take advantage.
Tuchel has looked to get more out of offseason signing Timo Werner by deploying him as an inside forward, positioned on the left and just off the main striker.
The point stopped Thomas Tuchel's side from recording a sixth straight win in all competitions.
Werner's flagging form was emblematic of Frank Lampard's struggles before he was sacked and replaced by Tuchel this week.
Tuchel was appointed as Chelsea head coach on Tuesday, replacing Lampard, and his first match in charge ended in a goalless draw.
Despite guiding Paris Saint-Germain to their first Champions League final in August, Tuchel was sacked by the French champions last month.
Thomas Tuchel became PSG coach in July 2018, going on to manage the capital club 127 times in all competitions, with 95 wins, 12 draws and 20 defeats.
According to Goal.com, Tuchel was sacked by PSG, with sporting director Leonardo and club president Nasser Al Khelaifi informing the German of his dismissal on Wednesday night.
The 47-year-old German arrived at the Parc des Princes on a two-year contract in 2018, and guided the Parisians to their first-ever Champions League final last season.
PSG manager Thomas Tuchel said that his side has to stay 'vigilant' at all times when they take on Manchester United.
Thomas Tuchel said he certainly doesn't accept the kind of performance his side gave and will have a word with the team.