1) In the project options you can choose the compiler messages you want to see.
If you don't care about platform independancy you can just switch of the platform warning there.
2) Another way is disabling the warning for a certain part of the code:
{$WARN SYMBOL_PLATFORM OFF}
// Your code
{$WARN SYMBOL_PLATFORM ON}
For a complete list of options look at the Delphi help file at the topic '$WARN'
3) A last way would be adding
{$WARNINGS OFF}
// Your code
{$WARNINGS ON}
but that is dangerous, because all warnings will be suppressed.
4) Additionally, as the other answers have already suggested, you could just switch to the platform independant variant of FileSetDate
which works on file names (i.e. Strings), but as far as I understand that goes beyond your question.