did he stand in any election?
Yes - in the election of 1880
Election of 1880
Hayes had pledged himself to a one-term presidency, and the Republican nomination in 1880 attracted many candidates, including Sherman. Hayes's preference was for Sherman to succeed him, but he made no official endorsement, and he did not think Sherman could win the nomination. Among the early favorites for the nomination were former President Grant, Senator James G. Blaine of Maine, and Senator George F. Edmunds of Vermont. Grant did not actively promote his candidacy, but his entry into the race energized his partisans, and when the convention met in Chicago in June 1880, they instantly divided the delegates into Grant and anti-Grant factions, with Blaine the most popular choice of the latter group. After Grant and Blaine had been nominated, James Garfield nominated Sherman with an eloquent speech, saying "You ask for his monuments, I point you to twenty-five years of national statutes. Not one great beneficent statute has been placed in our statute books without his intelligent and 
who is john sherman? He was a politician from the U.S. state of Ohio
Yes, three times Election of 1880. Yes
John Sherman John Sherman John Sherman
Introduction Election of 1880 Election of 1876
Sherman sought the Republican presidential nomination three times, coming closest in 1888, but was never chosen by the party.  After the other candidates had been nominated, the first ballot showed Grant leading with 304 votes and Blaine in second with 284; Sherman's 93 placed him in a distant third, and no candidate had the required majority of 379.  The issue of specie payments was debated in the campaign, with Hayes endorsing Sherman's position and his Democratic opponent, incumbent Governor William Allen, in favor of increased circulation of greenbacks redeemable in bonds. 
wiki:25372380
John Sherman [SEP] Election of 1880
Hayes had pledged himself to a one-term presidency, and the Republican nomination in 1880 attracted many candidates, including Sherman. Hayes's preference was for Sherman to succeed him, but he made no official endorsement, and he did not think Sherman could win the nomination. Among the early favorites for the nomination were former President Grant, Senator James G. Blaine of Maine, and Senator George F. Edmunds of Vermont. Grant did not actively promote his candidacy, but his entry into the race energized his partisans, and when the convention met in Chicago in June 1880, they instantly divided the delegates into Grant and anti-Grant factions, with Blaine the most popular choice of the latter group.