It doesn't happens with me...The thing is there are some injury prone players they will get injured very often...This has nothing to do with the best player getting injured...
2 of my best players have not got injured once even after playing about 50 games and HARD TRAINED uncountable number of times...
You just have to determine the players who are injury free and train them...
There will be 1,2 player in your squad who will have not got injured once...