You can embed a link to print a Google Sheet and supply multiple parameters that control the print settings. Create a named range "Print" in the sheet (or substitute any range in A1 notation for `Print`. Get the `<spreadsheet_id>` and `<sheet_id>` from the URL (don't include `<>`).
```
https://docs.google.com/spreadsheets/d/<spreadsheet_id>/export?
exportFormat=pdf&
gid=<sheet_id>&
range=Print&
size=letter&
portrait=true&
fitw=true&
gridlines=false&
printnotes=false&
printtitle=true&
pagenum=RIGHT
```
In the cell you want to use as the "Print" button, type "Print to PDF" or similar and add the above link ( `Ctrl + K` ).