YOU SAID:

my mom said we can't go shopping

INTO JAPANESE

私のお母さんは買い物に行くことができないと言った

BACK INTO ENGLISH

My mother told me that I can not go shopping

INTO JAPANESE

私の母は私に買い物に行くことができないと言った

BACK INTO ENGLISH

My mother told me I could not go shopping

INTO JAPANESE

私の母は私が買い物に行くことができなかったと私に言った

BACK INTO ENGLISH

My mother told me I could not go shopping