I can only answer for England. But, yes, he was very influential. Martin Luther was a contemporary of King Henry VIII. Luther produced the 95 Theses 8 years after Henry became King in England. Henry was always a staunch supporter of Catholicism, so he produced a work against reforms in the Church and in particular, against Luther. This work lead to him being declared a Defender of the Faith by the Pope Leo X. Catherine of Aragon, Henry's first wife, was also a Defender of the Faith. This led to a staunch reaffirmation of Catholicism in England.

Later, when Henry wanted a divorce from Catherine, he had to go up against the strong network of Catholic leaders he himself helped establish in order to be granted that divorce, which he wasn't.

This also lead to the tumultuous period after his death in which Mary, Edward, and Elizabeth flip flopped English religion around and lead to about 600 Christian martyrs being burnt at the stake.

G.J Meyer's The Tudors is an awesome encyclopedia of the period.

Brad Gregory's Salvation at Stake is also a really good book about how that period of religious upset lead to so many deaths.

Derek Wilson's Out of the Storm also talks about the legacy of Luther and his influence.

I know of a ton more, so if you want other titles, let me know. I'm happy to give them to you. My degree is in early modern religious history so I have shelves and shelves full.