Everton scored twice in the last three minutes to snatch a dramatic Premier League victory over Crystal palace.
Tactical changes by Toffees boss Marco Silva decided the game, with Dominic Calvert-Lewin heading in fellow substitute Ademola Lookman’s cross.
Moments later a third substitute, Cenk Tosun, hit the winner at Goodison Park.
“Had we won or drawn no-one would have begrudged us that,” Hodgson said.
Earlier in the second half, Everton keeper Jordan Pickford saved Luka Milivojevic’s penalty with his feet.
Everton’s third victory in a row lifted them to eighth in the table, while Palace stay 15th, two points above the relegation zone with only two wins this season.
Hodgson’s team, who have only scored five goals this term, face a tough run of fixtures over the next month, starting with next Sunday’s home game against fifth-placed Arsenal.
Palace then go to Chelsea the following weekend and host Tottenham on 10 November, before returning after the international break with a trip to Manchester United.
In Serie A, Inter Milan captain Mauro Icardi scored a dramatic injury-time winner as they beat city rivals AC Milan at the San Siro.
The 222nd Milan derby was petering out before the Argentine striker headed in Matias Vecino’s cross.
Inter – who lost Radja Nainggolan to a first-half injury – were deserved winners, but it was a lacklustre game.
The closest either side came before the winner was Inter’s Stefan de Vrij hitting the post from close range.
Icardi – who only touched the ball 15 times in the entire game – and AC Milan’s Mateo Musacchio both had goals correctly disallowed for offside.
Inter move up to third with the victory – with AC Milan remaining 12th.