This is false. If science were still conducted equally in German, Russian, French and English, up and coming scientists in China, Japan, etc. would have to learn four languages to keep up with their field instead of just English. Conversely, assuming such newcomers rise to the forefront of their field, they might choose to publish in their own language, foisting a new language on everyone else.
One aspect of English that the author overlooks completely is how welcoming it is of new words. French, for example, has the "Académie française", which is an institution charged with maintaining the purity of the French language. This means resisting change and controlling the vocabulary in use. There are dictionaries for English, but those who maintain them simply try to keep up with common usage, not control what becomes common usage. If a researcher finds that they need a term that does not exist in English, it's trivial to invent a new word or, more commonly, borrow one from another language.
The author of this article argues that English speaking countries exert undue influence on science because of scientific monolingualism. However, English has been extensively modified to suit those who wield it in print, and an increasing proportion of them are not native speakers of English. English is rapidly becoming the world's language. One could just as easily write an article bemoaning the plight of Anglophones, whose native tongue is no longer something they control!