Manchester United throw away a first-half lead to draw 1-1 against Fulham at Old Trafford in the Premier League.
The England international was the Premier League's Player of the Season following Chelsea's 2004/05 title-winning campaign.
Tuchel was pleased to see his team take a huge win in the top-four race against Leicester in front of returning fans at Stamford Bridge.
Antonio Rudiger gave Chelsea the lead after restart before Jorginho extended the lead through a penalty, Kelechi Iheanacho pulled one back for Leicester.
The former Manchester United captain's induction follows those of strikers Eric Cantona, Alan Shearer and Thierry Henry.
Manchester United have lost their last two matches in the Premier League against Liverpool and Leicester City.
About 10,000 supporters will return to Old Trafford for the first time in 14 months when they play Fulham on Tuesday.
Eric Cantona is the latest player to be inducted into Premier League Hall of Fame, joining Thierry Henry and Alan Shearer.
On this day in 2019, Manchester City won the FA Cup - and entered the history books as England's first domestic treble winners.
A number of notable former England footballers, including Gary Neville and Gary Linekar, launched a campaign to bring an independent regulator for the sport.