The phrase "potential candidacy" refers to someone being considered or seen as a potential choice to run for a particular position or job, like being a candidate for an election. Full definition
Mandel's potential candidacy comes at an interesting time, when sources say that Greenfield is angling for his pal, local politico Kalman Yeger, to unseat Councilman Chaim Deutsch (D — Sheepshead Bay) in a power play to expand his influence in the borough's heavily Orthodox Jewish communities. (brooklyndaily.com)
But there was opposition to Blair's potential candidacy from the Conservatives and the Liberal Democrats. (theguardian.com)
Mr. Weprin's potential candidacy comes after a head - spinning couple of hours yesterday when Assembly member Rory Lancman announced that he would not seek a seat in Congress currently held by fellow Democrat Gary Ackerman. (observer.com)