The 19-year-old defensive midfielder has joined the Premiership leaders on a four-year deal after a £2.8m fee was agreed with Russian club Krasnodar.
"All I'm interested in at the moment is really progressing," Kouassi said.
"I really feel this is the best place for me at the moment to progress, to become better."
Captain Scott Brown played his 400th game for Celtic in Wednesday's 1-0 league win over St Johnstone and Nir Bitton, Callum McGregor and Liam Henderson have also played in central midfield areas this season, with Stuart Armstrong and Tom Rogic tending to play further forward.
"I'm not getting worried about it," Ivorian Kouassi said through an interpreter.
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"At the moment, since I haven't played for a wee while, I need to get back to full fitness then after that the coach is going to decide.
"When you play alongside players with such experience, you learn a lot. I expect players such as Scott Brown to really help me and maybe guide me.
"There's lots of great players that have come to Celtic before. It's got a great, great coach at the moment."
Uncapped at senior level, Kouassi played in the Europa League with Krasnodar and has watched Celtic playing in the Champions League, including this season's matches in Group C, which also contained Barcelona, Borussia Monchengladbach and Manchester City.
"It's something that I'm really, really happy about because it's the top," Kouassi said on the prospect of playing in next season's tournament. "It's the best you can get in European football.
"This is going to have an impact. Celtic is not a small club so hopefully, this will have an impact on my international career with Ivory Coast."

Basharat Hussain of no fixed abode, was arrested at Manchester Airport by South Yorkshire Police as part of an investigation into allegations of child sexual exploitation in Rotherham.
The offences are alleged to have been committed between 1996 and 2001.
He is due to appear at Rotherham Magistrates' Court on Thursday.
The force said he has been arrested on suspicion of gross indecency towards a child, inciting a child to commit gross indecency, procuring a female to have sex with a man, indecent assault, rape, false imprisonment and procuring a female to become a prostitute.
Mr Hussain was apprehended after a warrant was issued for his arrest.

28 March 2016 Last updated at 14:18 BST
Two motorists captured this footage of the koala taking a casual stroll along the road, stopping all the traffic.
Watch the video of the police helping it to safety.
New Celtic midfielder Eboue Kouassi is "not getting worried" about the competition he faces for a place in Brendan Rodgers' team.
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A 38-year-old man has been arrested on suspicion of committing 15 sexual offences, including allegations of rape and false imprisonment.
[NEXT_CONCEPT]
A koala has received a police escort to save it from being injured, after it wandered onto a busy road in Brisbane, Australia.