Rangers booked a spot in the final of the Scottish Cup - to be played this Saturday against Hibernian - on April 17 by edging out their bitter Old Firm enemies in a tense penalty shootout, after the match finished 2-2 following two hours of drama.
It was only the second time that Rangers had faced Celtic in four years, meaning both sets of fans had an appetite for the clash, having been starved of such a fixture more or less since 2012.
And the two groups of supporters certainly made themselves heard as 50,000 of them came together to support their respective sides, creating the type of atmosphere that such fixtures are historically associated.
Although Bitton admits that the result was not ideal, the 24-year-old midfielder did acknowledge that both sets of fans played their part in a "great" spectacle.
"The result in the Scottish Cup was not good, but the atmosphere was great," he said to The Mail.
"Games next season against Rangers will add a lot of interest and colour to the Scottish league. The fans are desperate to see the games and the players are just as keen to play in them."
Rangers and Celtic supporters will be hoping to have at least four more Old Firm derbies to experience next term, the Gers having won promotion from the Scottish Championship this past season.