When reporting something that someone has said we do not use quoatation marks instead we use the rules of reported speech.
All the tenses shift:-
Future to Future Past
Present to Past
Past to Past Perfect
Present Perfect to Past Perfect
Places, Times, Pronouns
here to there
this to that
now to then
yesterday to the day before or the previous day
tomorrow to the day after or the following day
last week to the week before
next week to the following week
Examples:-
PRESENT TO PAST
She said, "I am hungry."
She said she was hungry.
FUTURE TO FUTURE PAST
He said, "I will meet you tomorrow."
He said he would meet you the following day.
PAST TO PAST PERFECT
You said, "I didn't have time to finish my work yesterday."
You said you hadn't had time to finish your work the day before.
PRESENT PERFECT TO PAST PERFECT
They said, "We haven't found the answer."
They said they hadn't found the answer.