U.S. Const., Art II, Sec 1, Cl 4: No person except a natural born citizen...shall be eligible to the office of President...and been fourteen Years a Resident within the United States.
Therefore, The Mark 1 Terminator...um I mean Arnold S. is not eligible to hold the Presidency...but that does not mean that a foriegn born natural citzen cannot; two examples come stright to mind: John McCain (born in Panama), and me (then West Germany). Both of us, as with thousands of U.S. citizens who were born to American parents abroad are eligible. However word has it that several Con law scholars (on behalf of both parties) would have filed suit against McCain based on this clause if he had one.
Carry on.
jEEZY