The Uruguayan is enjoying an excellent first season for Manchester United, helping them consolidate second place in the league and reach the Europa League final.
Around 10,000 fans were in attendance at Old Trafford as Manchester United were held to a 1-1 draw against Fulham.
The Frenchman played a key role in United dominating the Premier League under Sir Alex Ferguson in the 1990s.
Dennis Bergkamp scored 87 goals in 315 Premier League appearances for Arsenal after signing from Inter Milan in 1995.
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.