With Christian Benteke still sidelined with an injury, the 'Eagles' have lacked in goals from their forwards with Wilfried Zaha, Alexander Sorloth and Jordan Ayew all struggling to find the net in recent weeks.
His side have, however, been encouraging going forward, with a 2-2 draw with Arsenal being the highlight of the last fortnight.
Speaking at a press conference on Thursday, Hodgson remarked: "We have Benteke injured, but he'll soon be back. We have Sorloth, we have Ayew, we have Wilf, and we have Andros Townsend so we have forwards at the club.
"I can't in any way criticise or complain about what the players are trying to do either in training or in matches.
"I'm sure that they [goals] will come when the ball goes in for us - but, as I say, we've scored three in the last two games against Arsenal and Chelsea away."
The manager also responded to rumours linking the club with a move for a new striker in January - Danny Welbeck had been talked of as a possibility.
"We aren't specifically targeting anything at this moment in time.
"Like all clubs in the Premier League, we are all constantly assessing and looking at players, so that when the day comes, if there is a vacancy and if there is money to spend, you know where to go.
"I haven't had a serious meeting with the scouting department - they are getting on with their work and we have several meetings scheduled later in November and December.
"Maybe then they will tell me what they are thinking in various positions, but if you ask me now: 'Have I spoken about Danny Welbeck or has anyone spoken to me about Danny Welbeck, the answer is no.'"