Darren Ferguson's Peterborough side had every right to be hopeful of creating an upset after their impressive draw in the original tie at The Hawthorns.
Murphy's competitive debut for his new side could come in the Champions League third qualifying tie, with Celtic draw with Sporting Braga hours before his transfer was completed.
The Polish team, whose first match at the championship ended in a 1-1 draw against Greece last week, needed to tie or win Tuesday's game against Russia to keep chances alive of advancing out of Group A. Russia beat the Czech Republic last week.
Meanwhile Hessenthaler says he will not watch Sunday's FA Cup first-round draw after being drawn against former club Dover last year, a tie the Gills lost 2-0.
His equaliser for Schalke in their 1-1 draw at Valencia in the first leg of their Champions League last-16 tie was his 71st in a European club fixture.
The striker missed City's midweek 1-1 Europa League draw with Juventus and it looked as though the want-away controversy would rumble on into tonight's tie with Everton.