"supervise the implementation" is grammatically correct and commonly used in written English.
It is used to describe the act of overseeing and monitoring the execution of a plan or project. Example: As project manager, it was my responsibility to supervise the implementation of the new company-wide software system.
The president is required to supervise the implementation of the constitution.
From that vantage point, they will supervise the implementation of a new standard reading and math curriculum.
"The committee must supervise the implementation of the agreement to spare the Iraqi blood," Mr. Sadr said, "for that is the responsibility of us all".
The Joint Commission will supervise the implementation of the arrangements described in Annex I and this Appendix.
The Royal Advisory Council was established in 1965 to advise the king and his ministers on important questions and to supervise the implementation of government programs and policies.
United Nations forces will supervise the implementation of this Appendix and will employ their best efforts to prevent any violation of its terms.
HMS conceived and refined the research question, developed, implemented and supervised the implementation of the systematic review methodology, searched for and obtained relevant evidence, conducted relevance assessments, organized and conducted the qualitative synthesis and critical appraisal, and took the lead in preparing the manuscript.
J.G.S., A.L.H. and F.M.B. supervised the implementation.
A.B. and F.M.B. supervised the implementation.
From 2006 to 2009, Olsen was a deputy assistant attorney general in the Justice Department's National Security Division, supervising the implementation of the Foreign Intelligence Surveillance Act.
It also differed in his simple avoidance of the word; after his year of legislative activity he simply disappeared instead of supervising the implementation of that legislation.
