But the 43-year old from Split, who is fluent in four languages, has a law degree and a rock band, will have few regrets knowing he brought the best out of his team, who often punched above their weight in major events.
The tournament in Poland and Ukraine was no exception as Croatia were in contention for a quarter-final berth until the last few minutes of their absorbing clash with the European Champions, when a Jesus Navas goal sent them packing.
Croatia's "fiery madness" - the team's official Euro 2008 anthem composed by Bilic's band which epitomised their passion on the pitch and at times the unruly behaviour of their fans in 2012 - will now make way for daily work in club football.
"I didn't expect this to be my last game in charge because I thought we would get past the group stage with this phenomenal group who've shown great character and built a fantastic atmopshere," he told Croatian television.
"I want to congratulate the players for six years of impeccable work and behaviour.
"I will leave nothing in the tank either profesionally or emotionally whatever I do next but I will never be as proud as I was while coaching my country, which is a rare privilege and especially so for a young coach like myself," he said.
Croatia's first XI time and again showed the ability to stand their ground against the toughest opponents but lack of depth in the squad eventually dashed their hopes of at least emulating their Euro 2008 achievement of making the last eight.
The Croatians were swiftly punished at the other end with the clock ticking, and Italy's 2-0 win over Ireland meant the Italians went through as runners-up with group winners Spain.
Croatia's robust striker Mario Mandzukic, who scored three of their four goals at Euro 2012, needed a suitable strike partner to take some of the punishing workload off him.
