America is one of the most powerful countries in the world, both in terms of economic power and social influence. It is also a member of international organisations such as NATO and sits as one of the permanent members on the UN Security Council. Therefore all countries in the world can be affected by the person in the White House and it is natural that governments would prefer one candidate over another for the good of their own country.
Yes, foreign governments do have a vested interest in the outcome of the United States elections, especially the upcoming presidential election. Each candidate has a set of ideas regarding how to deal with each nation. Therefore other nations have a keen interest regarding who will win and who will be the leader of our country for the next four years.
Yes, foreign governments have a vested interest in the outcome of the US elections because the US is the most powerful country in the world. Whoever becomes president will have a major impact on the world's economy. The candidates believe is so many different things that the election will determine where the world goes.
There has been plenty of media attention around the recent hacks and leaked documents during the presidential election, and some believe it is the work of hackers outside the US. While other countries may or may not be taking action to meddle in the election and attempt to sway public opinion, foreign countries likely have a vested interest in whoever wins the presidential election. Leaders of countries are constantly in communication, making alliances, and sometimes butting heads over what action to take. The leaders of other countries will likely be involved and working with the next leader of our country, and because of that, they should have a vested interest in who wins. The next leader of our country will be responsible for our foreign relations, and leaders of other countries probably do have a personal preference on which candidate they would most like to work with in the future.