Rashford sealed a six-month loan move to Aston Villa last month after falling out of favour at Manchester United.
The England international was introduced late on in Villa's 2-1 FA Cup victory over Tottenham on Sunday, in his first appearance since leaving Old Trafford.
The 27-year-old toasted his debut by posting images from the victory alongside the caption: "Thank you for the warm welcome. Great team performance."
But it was Sancho's response to the Instagram post that got fans talking.
Sancho, who is under contract at Manchester United despite currently being on loan at Chelsea, wrote 'Freedom' alongside both a blessing hands and a raising hand emoji.
Read more on football
I told Aston Villa to rip up my contract after what happened in training
Man United could ditch £72m Hojlund, Villa target Felix, Potter wants Brighton outcast
The former Borussia Dortmund star appeared to suggest that both he and Rashford were finally free from their Old Trafford hell.
Former Crystal Palace owner Jordan, was left less than impressed by Sancho's remarks when discussing the situation on talkSPORT.
Asked what he thought of Sancho's expression of opinion, Jordan replied: "Not very much to be honest with you.
"I think what Jadon Sancho has to say is not particularly relevant to Marcus Rashford's situation. I don't think he's covered himself in glory."
Most read in Football
Bizarre rule change could see Championship star switch international allegiance at 29
Paul Scholes raises major Kobbie Mainoo fears and makes Declan Rice comparison
I told Aston Villa to rip up my contract after what happened in training
'Embarrassing the players' - Martin Keown slams Man United's post-match training session
Jordan went on to critique Sancho's recent career trajectory which has seen the player loaned out twice since securing a £73m switch to Old Trafford in 2021.
"He's had a few decent games for Chelsea but other than that, a few decent games for Dortmund," Jordan added.
"But his career has gone backwards, he's responsible for it not anyone else and this is the sort of atypical response from people that always like to align other people with the blame or their current failings.
"I think it's a sad indication of where United have gotten to to think that people can speak about the club in this way.
"I think the underlying message is that you're out of the awful place that Man United has become.
"A place that has been created by the culture of players there and I would suggest that players like Jadon Sancho who only like it when they're told all the good things.
"They can't really deal with any home truths or they can't have any consequences for their actions because if they do, they don't like it."
Former United defender Rio Ferdinand recently told talkSPORT of his concerns at how some stars have reignited their careers shortly after leaving Old Trafford.
Players such as Scott McTominay and Anthony Elanga have gone on to show their worth at Napoli and Nottingham Forest respectively. Meanhile, Sancho appears to be happier in his new surroundings at Stamford Bridge.
However, Jordan has instead questioned whether those players were ever up to the task of playing for a club the size of United.
He said: "The weight of a Manchester United shirt is probably heavy - is that meant to be apologised for?"
"What about the character of the players being able to embrace the task. On one hand people like Rio will talk about the culture of the club and the fact that they don't recognise the attributes and outlook of some of the players.
Read More on talkSPORT
Premier League stars make wholesome gesture after ex-Norwich academy captain dies aged 26
Super Bowl 60 logo revealed and conspiracy theorists think they know who'll make it
"On the other hand they'll turn around and say these same players are going elsewhere and spreading their wings because the expectation might be less, the pressure might be less, the weight of the shirt might be less.
"So, does that tell you those players shouldn't have been at Manchester United in the first place?"
Simon Jordan INSISTS Rashford has to perform after Man United exit!