Shawcross was sent off in the game following a horrific injury to Aaron Ramsey.
Ramsey suffered a broken leg in the second half, following a bad challenge from Shawcross.
Pulis said: “It is a bad challenge but I know Shawcross, I signed him as a 19-year-old.
“He has got no bad blood in him whatsoever and there is no way in a million years he would ever go out to hurt anybody. I really mean that.
“Everyone else at this football club sends their condolences on the incident, we wish him well for a speedy recovery and as a fellow Welshman I am devastated.
“But Ryan has come off the pitch broken-hearted, met his mum straightaway and gone straight home.
“For me the game is insignificant, the incident has really spoiled it.”