The Danish manager has indicated that he will hold talks with the striker regarding his future after he admitted that he was unhappy with his lack of starts this season
Graham revealed last week that he was unhappy with his lack of starts for the Welsh club this season and would hold talks with the 48-year-old boss amid reported interest from the likes of Reading, Sunderland and Norwich.
The former Watford forward's recent revival in form continued during Sunday's FA Cup tie against Arsenal, when he scored his third goal in as many games to earn Swansea a replay with a 2-2 draw.
"We've not had official bids for Danny," Laudrup told reporters. "He's playing well right now so obviously he's important for us because he's scoring goals.
"But let's see what he is saying. That I am talking to players doesn't mean I tell them they can leave. That's just the way I am. I speak to players.
"Michu was on the bench because he was not 100 per cent but I thought Danny, after two goals in two games, could keep his momentum up.
|SUCCESS FOR SWANS?
|66/1||Swansea are 66/1 to win the FA Cup with bet365|
"Apart from his late goal he showed great spirit and heart. In the last couple of games we've seen the Danny we saw at the end of pre-season."
Saturday's draw means Swansea face a second trip to the Emirates Stadium this season, a venue where they posted a 2-0 victory over the Gunners back in December.
The Swans also face the first leg of their Capital One Cup semi-final tie against Chelsea on Wednesday and Laudrup paid tribute to his players' achievements so far this season.
"We have good memories there [at Arsenal] and if we continue this momentum it gives a lot to the team," he added.
"We may lose two or three games now but nobody can take away what we've achieved already this season."