Bowen had been tipped for an England call-up for the friendlies against Switzerland and Ivory Coast last month before a fractured foot ended those hopes.
However, Moyes felt the 25-year-old forward, who has now scored 13 goals in all competitions this season, could make a late push to get into Gareth Southgate’s squad for four Nations League games in June – against Hungary, Germany, Italy and Hungary again – and the Qatar World Cup in November and December.
“It was unfortunate the injury he got as we could have found him being part of the England squad,” said Moyes.
“Gareth may look at him again in the summer if he keeps his form up. We know Jarrod has goals in him.
“He has such high standards and he might’ve been called up for England in the last break. If he finishes the season well he will be in contention for the games in June.”
For Moyes, his thoughts now turn to Thursday’s Europa League quarter-final first leg when they take on French side Lyon at London Stadium with Barcelona potential opponents in the semi-finals.
“This is just the starter,” added the Hammers boss. “We have the main course coming up on Thursday and hopefully we can be quicker and sharper.”
West Ham have only won one European competition in their history in 1965 and have never played in the Champions League, but winning the Europa League would guarantee them a place in that competition next year.
Sunday’s win leaves them sixth in the Premier League on 51 points, three behind fourth-placed Tottenham, who beat Newcastle 5-1 later in the day. Spurs have a game in hand while fifth-placed Arsenal – also on 54 points – have three games in hand on the Hammers (West Ham).