Marcelo Bielsa’s kept their hopes of a top half finish alive and finally ended their lengthy run of poor results in London thanks to goals from Patrick Bamford and Raphinha at Craven Cottage.
Reflecting on Friday’s clash, Shearer saw fit to include both of those players in his Premier League Team of the Week.
Speaking about Raphinha, he said: "Another fine performance from the Brazilian, who showed great footwork and composure for Leeds' winning goal."
Turning his attention to Bamford, who had been carrying a knock going into the game, the Match of the Day pundit added: "You wouldn't have guessed he was carrying an injury.
Leeds United ‘want’ international midfielder, Whites ‘close’ to agreeing winger deal
Leeds United transfer news: Leeds ‘set aside club-record fee’ for striker deal, Southampton ‘willing’ to sell Whites target
What Leeds United said on outstanding Raphinha payment as Barcelona make another drastic move
What is happening to former Leeds United star Raphinha at Barcelona amid latest farce and deadline
Jesse Marsch press conference live: Leeds United head coach offers new transfers and injury update
"A superbly taken goal and a great assist as he led the line brilliantly."
Shearer also singled out goalkeeper Illan Meslier for praise after the French stopper made a number of fine saves against Scott Parker’s men.
He said: "Produced two outstanding saves to keep Fulham at bay and lay the foundations for an impressive Leeds victory."
The result leaves Leeds with 39 points after 29 matches this season.
The lowest points tally that has secured a top half finish in the past three Premier League campaigns was in 2017/18, when Newcastle United secured 10th position with 44 points to their name.
Last season, Burnley were the last team to make up the top half of the table, picking up a total of 54 points to do so.
Leeds would need to win five of their remaining nine matches to reach that tally.