Schweinsteiger was involved in an incident with West Ham defender Winston Reid during last weekend’s Premier League game at Old Trafford.
Just before half time, the Germany international appeared to swing an elbow which caught Reid on the throat. The New Zealand international defender went down, but the former Bayern Munich star was not shown a yellow card.
The 31-year-old midfielder has since been banned for three matches by the Football Association after being found guilty of violent conduct.
This means that Schweinsteiger will miss United’s next three Premier League games against Bournemouth, Norwich City and Stoke City.
Brady was far from impressed with the United midfielder’s conduct against West Ham.
“German captain Bastian Schweinsteiger rebukes Man U’s strikers for not having ‘the killer instinct’,” the 46-year-old has written in her football diary in The Sun (Saturday, December 5 entry).
“Judging by the karate chop he lands on Winston Reid, he has plenty of that instinct himself.”
United are fourth in the Premier League table at the moment with 29 points from 15 matches, just three points behind leaders Leicester City.
West Ham are currently seventh in the standings with 23 points from 15 games, six points behind United.