I am also of the view that an Arahant would not shed tears, BUT since the Buddha did not explicitly say so i will not discount it.
The Buddha:] "There are five things that can turn out in two ways in the here-&-now. Which five? Conviction, liking, unbroken tradition, reasoning by analogy, & an agreement through pondering views. These are the five things that can turn out in two ways in the here-&-now. Now some things are firmly held in conviction and yet vain, empty, & false. Some things are not firmly held in conviction, and yet they are genuine, factual, & unmistaken. Some things are well-liked... truly an unbroken tradition... well-reasoned... Some things are well-pondered and yet vain, empty, & false. Some things are not well-pondered, and yet they are genuine, factual, & unmistaken. In these cases it isn't proper for a knowledgeable person who safeguards the truth to come to a definite conclusion, 'Only this is true; anything else is worthless."
[Kapadika Bharadvaja:] "But to what extent, Master Gotama, is there the safeguarding of the truth? To what extent does one safeguard the truth? We ask Master Gotama about the safeguarding of the truth."
[The Buddha:] "If a person has conviction, his statement, 'This is my conviction,' safeguards the truth. But he doesn't yet come to the definite conclusion that 'Only this is true; anything else is worthless.' To this extent, Bharadvaja, there is the safeguarding of the truth. To this extent one safeguards the truth. I describe this as the safeguarding of the truth. But it is not yet an awakening to the truth."
— MN 95