As well as the pre-match applause, banners, cards, pennants and TV screens in the blue and yellow halves of the Ukrainian flag proclaiming ‘Football Stands Together’ were displayed at Premier League games on Saturday.
Abramovich, 55, is alleged to have strong ties to Russian President Vladimir Putin, which he has denied.
Tuchel was speaking after third-placed Chelsea beat Burnley thanks to a Kai Havertz double and goals from Reece James and Christian Pulisic, all of which came in the second half.
A Chelsea spokesperson echoed Tuchel’s sentiments in a statement.
“The club’s very firm view is that moments of respect or recognition should always be honoured by everyone present,” it read.
Abramovich has been at Chelsea for 19 years since taking the club over in July 2003, during which time they have won 19 major trophies.