The squad and staff travelled to Bangkok straight from Cardiff to attend Vichai's funeral and their manager, Claude Puel, knows there will be hard times after their return.
Thai billionaire Vichai Srivaddhanaprabha died, along with four others, when his helicopter came down in a vehicle park at the King Power Stadium on 27 October.
Rob Tanner, Chief Football Writer for the Leicester Mercury, told CNN's Patrick Snell that the minute's silence was a moving tribute. We talked about having to just stick together and be what we have always been - a family.
In the pre-match warmup the players wore white T-shirts bearing an image of Srivaddhanaprabha, below the words "the boss". "It is an emotional day and an emotional time but there was no question I was going to play".
Demarai Gray scored the only goal of the game, removing his shirt to reveal his own tribute - "for Khun Vichai", using the Thai honorific.
"I feel proud, it's been a really tough week for everyone". Leicester's players applauded the fans and nodded their respect.
Leicester City players hold a banner in memory of Vichai Srivaddhanaprabha.
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Leicester are 12th in the table on 13 points, while promoted Cardiff are 17th with five points from 10 games.
Manchester United manager Jose Mourinho called himself "the luckiest manager in the Premier League" after his seventh-place side came from behind to win at Bournemouth 2-1.
"I spoke to somebody [for support]", he said.
"We were defensively terrible".
With crucial Champions League ties against PSV Eindhoven and Inter Milan in November, as well as London derbies against Crystal Palace and Chelsea, Pochettino was forced to do without Eric Dier who was declared unfit, while Mousa Dembele limped off in the first half. "The second half was much better", Mourinho said. "We created lots of chances and deserved to score before the 92nd minute".
Newcastle claimed its first league victory in 11 games by defeating Watford 1-0.
Vardy, however, maintains that three points against relegation-threatened Cardiff is the goal and would be a fitting token of the player's appreciation for Srivaddhanaprabha.
Brazil forward Richarlison opened the scoring following a fine counter-attack in the 27th minute.