The phrase "embark on a process" is correct and usable in written English.
You can use it when you want to describe the process of beginning a new project or undertaking. For example: I have decided to embark on a process of self-improvement.
"We urge President Mubarak to embark on a process of transformation which should be reflected in a broad-based government and in free and fair elections".
After the ceremony, the children were taken to camps where they will embark on a process that may eventually reunite them with their families.
The SNP will embark on a process of "nation building" which they will see as justifying the fostering of nationalist sentiment wherever possible, and certainly in media.
Meanwhile, the European Union is scheduled to take up debate of its so-called common position on Cuba, which calls on member nations to urge Cuba to embark on "a process of transition to pluralistic democracy".
Or will governments find the political will, and secure the democratic legitimacy, to embark on a process of much deeper fiscal, economic integration that is needed to stabilise the single currency?
The 31-year-old married father was about to embark on a process of gender reassignment, both hormonal and surgical, and for all practical purposes should be regarded from that day forth as a woman.
Now, Ratzinger was one of their idols – having embarked on a process of intellectual change that would see him question many of the most important decisions reached by the Second Vatican Council.
The standards board has embarked on a process to come up with simplified rules for private companies, which might involve fewer disclosures.
Unlike traditional science, CRESP embarked on a process to include the Alaskan Natives of the Aleutian Islands (Aleuts), relevant state and federal agencies, and other stakeholders at every phase.
