The US president doesn't have the constitutional power to promise any organization that they can monitor any election. In the US, all election laws and procedures are determined and administered by the various states. It would be up to the officials of each state to decide whether they wanted their elections monitored. If someone believed that an election had been held in violation of constitutional principles, such as "equal protection of the laws" they could seek redress, after the fact, in a Federal court, but that's about the extent to which the Feds can get involved. (That's more or less what happened in the Florida election of 2000. And many people believe the US Supreme Court overstepped its constitutional authority by even claiming jurisdiction in that case.)

In short, I agree the story is bogus.

I can't blame anyone for trying, however. Bogus news stories often make great satire. See The Onion, for example. But this story isn't outrageous enough to be funny.