Arsenal – who are aiming to qualify for the tournament's knockout stages for the 11th year in a row - were thoroughly dominant at the Emirates Stadium on Tuesday, with Wilshere's goals in the first and 65th minute enough for their fourth Group F win in five attempts despite Mesut Ozil's saved first-half penalty.
Only profligacy and the efforts of Marseille goalkeeper Steve Mandanda kept the scoreline respectable for the visitors, who have lost all five of their group matches.
Qualification to the last 16 – in what was described as the pre-tournament group of death – can be achieved by Arsene Wenger's side if they win a point in their final fixture in Napoli next month.
Arsenal burst out of the blocks and took just 27 seconds to open the scoring, as Bacary Sagna's pass down the right played in Wilshere, who ran into the area, sidestepped a challenge from Lucas Mendes and curled a left-foot effort into the top corner.
The hosts dropped off the pace significantly after Ramsey's effort, with their lull highlighted by a sloppy first touch from Ozil in the penalty area following a delightful lofted ball from Ramsey.
Arsenal goalkeeper Wojciech Szczesny was quick off his line to deny Gignac as he tried to round him, and eight minutes before the break, Wenger's men won a penalty when Ramsey was brought down by Nicolas N'Koulou after an excellent flick.
Ozil was next to test Mandanda with a stabbed effort, but they finally extended their advantage when the German's neat ball from the right was steered in by Wilshere from close range.
