Martin Danforth filmed his 10-year-old son Joe leading Sheffield Wednesday players out onto the Hillsborough pitch on Saturday 19 March.
"10 years ago our family was told my little boy would never walk," Danforth tweeted alongside the video.
"Look at him now leading out Sheffield Wednesday."
Joe was born with a condition called CHARGE syndrome, which only occurs in one in 10,000 births, according to ChargeSyndrome.org.
It is an extremely "complex" syndrome, involving medical and physical difficulties that differ from child to child.
Most experience hearing loss, vision loss and balance problems, which delay their development and communication.
Joe's mum Nichola Danforth said her son is profoundly deaf, his vision is impaired and he has undergone multiple operations, including heart surgery.
"All he loves is his football," she told The Star. "And he has a passion for letters and numbers.
"We were absolutely bursting with pride [on Saturday], me and his sister were in the grandstand watching him whilst his dad was pitch side.
"When he came on obviously there were tears, I shouted out, 'Look that’s my boy!'"
The mum also thanked Sheffield Wednesday Football Club for allowing her son on the pitch.
She said she had emailed the club and asked whether they would consider him as a mascot, to which they replied to say they were happy to.
The video Joe's dad posted on Twitter was retweeted nearly 6,000 times and favourited more than 10,000 times within one day of being posted.
Many were touched by the video.