Denmark worldwide Schmeichel, who was in tears as Leicester's players and staff locked arms in the centre circle during a poignant minute's silence before kick-off, said the occasion had been tough for the players to handle.
Fans wore T-shirts with Vichai's picture on it, underneath the words "The Boss".
The 60-year-old was one of five people killed when a helicopter they were travelling in appeared to lose control shortly after taking off from the King Power Stadium following last Saturday's 1-1 draw with West Ham.
Rob Tanner, Chief Football Writer for the Leicester Mercury, told CNN's Patrick Snell that the minute's silence was a moving tribute.
Added goalkeeper Kasper Schmeichel: "That was a tough game, not just on the pitch, but mentally".
"It's been a odd week, surreal really, and I'm glad it's out of the way if I'm honest", manager Neil Warnock said.
"It was great to experience this result with the fans at the end because it was all the family together to honour our chairman", Puel said before he and the players embarked on a 13-hour flight to Bangkok to attend Srivaddhanaprabha's funeral. "It's still the beginning of the season and anything can happen, we have to keep strong and with the ambition of winning every game and never relax".
They will return in time to prepare for Saturday's home game against Burnley, the first match to be played at the King Power Stadium since the tragedy.
Over the coming days Thailand's business and political elites are expected to visit the temple to pay their respects, while monks will chant Buddhist verses over the duty-free mogul's body. "We are glad we've come away today from a really tough game with a win we can bring to Thailand and hope we did the family proud".
The Leicester players and staff flew to Thailand straight after the match, in which Demarai Gray's second-half strike secured the points in the Welsh capital. "The second half was much better", Mourinho said. "We were very lucky to know Khun Vichai". The Foxes, whose fixture at Cardiff was in doubt following the incident, fittingly marked the occasion with victory as Demarai Gray's victor sparked an outpouring of emotion.
"There are a lot of exhausted people in there now but I am proud of this team and the club, the way everyone has handled themselves has been unbelievable".
- Utah mayor, deployed to Afghanistan, is killed in attack
- Brazil's Bolsonaro wants to move Israel embassy to Jerusalem
- India announce final 12 for first T20I against Windies
- LeSean McCoy's star fades in Buffalo Bills' latest loss to Patriots
- Jamal Khashoggi's Body Dissolved After Dismemberment, Turkish Official Says
- Arsenal draw is a learning curve for Liverpool, says James Milner
- Wayne Rooney returns to the England national team squad
- Alli hoping to 'keep improving' after siging new Spurs contract
- Apple shows record-breaking results for Q4 of the fiscal 2018
- 'Red Dead Redemption 2' Earns a Record-Setting $725M Opening Weekend