Arsenal's brilliant teenage midfielder instead made a point of thanking Shawcross's team-mate Glenn Whelan for his help on the pitch immediately after the collision, which shattered both bones in the lower leg.
Ramsey, 19, said: 'I remember what happened clearly and after the tackle went in I saw that my leg was broken and hanging at an angle. I have seen images of the aftermath again but I don't want to dwell too much on the challenge as I can't change what has happened.'
Awful moment: Aaron Ramsey (left) is fouled by Ryan Shawcross
Ramsey vowed to return 'fitter and stronger than before' but his statement could leave a lingering sense of bad feeling between the two clubs after Arsenal manager Arsene Wenger refused to withdraw his description of the tackle as 'horrendous and unacceptable'.
Shawcross, called into England's squad for the first time this week, has tried to contact the Wales youngster to apologise. He had left the field in tears after being shown the red card by referee Peter Walton, and Stoke manager Tony Pulis claimed he had received sympathy from senior members of the England squad during the week of his first senior international call-up.
Shawcross, who began his career at Manchester United, also received a supportive phone call from Old Trafford boss Sir Alex Ferguson. But Ramsey refrained from making the young centre half feel any better about what happened.
Grateful: Ramsey thanked Stoke's Glenn Whelan for his help on the pitch
He said: 'It is difficult for me to take everything in at the moment. I thought I had been progressing well this season so, of course, this is a real setback.
'I had an operation last weekend and while it will take time for my leg to heal, I am determined and focused on overcoming this injury and hope to be back fitter and stronger than before. I am young and have time on my side.
'Glenn Whelan was especially kind and I really appreciated his immediate assistance on the pitch.
'I have also been overwhelmed by the terrific support I've received from so many people, including fans from many different clubs.
Critical: Arsenal boss Arsene Wenger has condemned Shawcross's tackle
'In particular, I would like to thank the medical team here at Arsenal for their efforts as well as the staff at both hospitals, and the medical support from Stoke City. I also want to say thanks to Arsenal for helping my family this week.
'Last, but certainly not least, I have been blown away by the fantastic messages of support from the Arsenal fans. I am proud to be an Arsenal player and your support has been incredibly touching.
'I also want to wish my teammates all the best for the remainder of the season. I know we are capable of winning a trophy and I will be backing them all the way.'
Tackling is an art but Shawcross is a poor artist, snipes relentless Wenger PICTURED: Arsenal fans unfurl giant tribute banner to injured Aaron RamseyARSENAL FC