Rashford also credited former team manager Jose Mourinho for making him a better player.
Cavani netted an opportunist 71st-minute equaliser after Allan Saint-Maximin gave the home side a seventh-minute lead with a fine individual effort, side-stepping two markers before he fired past De Gea.
Detective Inspector Matt Gregory of GMP's Trafford division said: "The actions of a small number of people overshadowed what was a hugely unifying event for our country on Sunday evening.
England's young forwards must consider leaving major clubs to play more regularly in their preferred positions and boost their chances of breaking into the national team, former Arsenal and England striker Ian Wright has said.
Jude Bellingham has become one of the most sought-after signatures in football
New Manchester United signing Alexis Sanchez can act as a catalyst in the development of fellow forward Marcus Rashford, manager Jose Mourinho said.
Monday's resumption was also a chance for those jostling at the top of the table to lay down a marker and for the strugglers to enjoy a fresh start.
The 20-year old, who scored 13 goals for Manchester United in all competitions last season, will be hopeful of a starting spot in Southgate's team after impressing in the warm-up games, including a long-range goal against Costa Rica.
England bounced back from their first tournament qualifying defeat for 10 years with a 6-0 thrashing of toothless Bulgaria on Monday in a Euro 2020 Group A clash marred by racist incidents in the first half that stopped the game.
Manchester United's miserable season continued with a 3-2 home defeat by Galatasaray.
Images from the UEFA Champions League matches played on Tuesday.
That incredible spread of goals has been shared by Marcus Rashford (3), Bukayo Saka (3), Jude Bellingham, Raheem Sterling, Jack Grealish, Phil Foden and Jordan Henderson plus Harry Kane.
A howler by Manchester United goalkeeper David De Gea gifted West Ham United three vital points in their battle against relegation as the hosts secured a 1-0 Premier League win.
Manchester United's Champions League qualification hopes suffered a blow after an equaliser deep in stoppage time from Michael Obafemi earned Southampton a 2-2 draw in the Premier League at Old Trafford on Monday.
'Manchester United must always continue their tradition of bringing through players from the youth academy.'
'The PSG performance gives us hope and belief we can do it, but we are playing against the favourites'
Arsene Wenger's final match at Old Trafford as Arsenal manager ended in defeat with a stoppage time header from substitute Marouane Fellaini earning the points for second-placed Manchester United.
Strikers Marcus Rashford and Daniel Sturridge made Roy Hodgson's final 23-man England squad for Euro 2016 on Tuesday but winger Andros Townsend and midfielders Danny Drinkwater and Fabian Delph were left out. England are taking five forwards to the 24-team tournament in France, which starts on June 10, with Sturridge selected despite doubts over a calf problem. The injury had forced the Liverpool striker to miss England's last two friendly matches, including Friday's win over Australia in Sunderland. The 18-year-old Rashford, who signed a new long-term deal with Manchester United on Monday, became the youngest player to score on his England debut in the 2-1 win at the Stadium of Light. He scored that goal 138 seconds into what was only his 19th professional match, marking him out as one of the brightest emerging prospects and winning plaudits from Hodgson.
Images from the Premier League matches played on Saturday.
Cristiano Ronaldo came off the bench to earn Manchester United a hard-fought 2-1 victory at Everton in the Premier League on Sunday, taking his career goal tally to 700 in the process.
Some of England's leading players will go head-to-head from their living rooms over Easter as part of a new FIFA 20 tournament launched by the FA on Thursday.
Manchester United returned to winning ways in ruthlessly emphatic fashion
Images from the English Premier League matches played on Saturday night.
Manchester United's teenage striker Marcus Rashford struck a stunning second-half free-kick to secure a 1-0 win at Celta Vigo in their Europa League semi-final, first leg on Thursday.
'We must work towards a society that doesn't require Black players to prove their value or place in society only through victory. Ultimately everyone on the England team should be so proud of their achievement and how they represented us.'
Manchester United's unbeaten start to the Premier League has helped the club build momentum before the derby clash against ManchesterCity, striker Wayne Rooney has said.
Italy goalkeeper Gianluigi Donnarumma was named the player of Euro 2020 following Italy's 3-2 shootout win against England in the final at Wembley on Sunday.
The result saw Spurs slip to eighth in the table.
Images from Sunday's action in the Premier League.
Leicester City reached the FA Cup final for the first time in more than 50 years
"It feels like a missed chance because I felt the performances were really good and the focus and the hunger was good every single day," said England midfielder Jordan Henderson.
'Hopefully, for many years,Marcus Rashford will be in this club and can make history for the club.'
IMAGES from the English Premier League matches played on Saturday.
Manchester United and Tottenham Hotspur built hefty leads with emphatic away wins in their Europa League last 32 first-leg matches but AC Milan were held to a 2-2 draw at Red Star Belgrade as the competition resumed on Thursday.
Didier Deschamps of France and Argentina's Lionel Scaloni should avoid the temptation to throw on a 'penalty specialist'
IMAGES from the English Premier League matches played on Saturday.
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field
Rashford put United ahead in the seventh minute
Jose Mourinho hailed Marcus Rashford's late contribution against Hull City on Saturday and hinted that the 18-year-old has a big role to play for Manchester United this season.
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