Rashford, who has had a hard start to the season with Manchester United, also notched the opener at Wembley in their Nations League clash with Spain on Saturday night, before scoring the only goal in their friendly at the King Power Stadium.
After an exciting summer of World Cup action and a creditable narrow defeat to Spain in their opening UEFA Nations League game over the weekend, "dull worldwide friendly" service resumed for Gareth Southgate's England as they took on Switzerland at the King Power Stadium.
"Normally we have not got opposing objectives and the clubs would be holding their breath and hiding behind their sofas watching our teams go out. A real breakthrough for him".
If the match confirmed what Southgate knows about Rashford, it also showed the England manager that there is clear daylight in the pecking order between Jordan Pickford and Jack Butland.
England's players did not hold back from criticising each other at halftime following a bad start to Tuesday's friendly against Switzerland and defender Danny Rose believes the exchange helped them improve and seal a 1-0 victory. They recognise when they want to be better.
Switzerland had their chances in the first half, with Xherdan Shaqiri hitting the outside of the post from inside the box after seven minutes.
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England got the new season back on track with their first win of the campaign.
"So numerous lads were playing their first 45 minutes of the season", said the England manager. "The pressing was in bits and bobs, people were going and people were staying, so the gaffer had stern words with us and the second half was much better". "So I thought this is a good opportunity to do it".
"We expect and encourage it because they're intelligent footballers and it's important they have a view".
And they most recently played away from London when they hosted Costa Rica prior to the World Cup.
Southgate said: "I wasn't in there at that moment because we always give them the first three or four minutes to themselves".
We know all about the influx of foreign players into the Premier League and how the selection pool is becoming ever smaller to pick from.