YOU SAID:
My mom said I was cool
INTO JAPANESE
私のお母さんは私がクールだと言った
BACK INTO ENGLISH
My mother told me I'm cool
INTO JAPANESE
私の母は私にクールだと言った
BACK INTO ENGLISH
My mother told me it was cool
INTO JAPANESE
私の母はそれがクールだったと私に言った
BACK INTO ENGLISH
My mother told me that it was cool
INTO JAPANESE
私の母はそれがクールだと私に言った
BACK INTO ENGLISH
My mother told me that it was cool
That didn't even make that much sense in English.