The 24-year-old American striker has recently been linked with a January move to the Royals.
Zardes, 24, was a reported target for Reading and a number of other European clubs in the summer [h/t MLSsoccer.com], and while a move failed to materialise in the end, Get Reading suggested earlier this week that the Berkshire outfit are still keeping close tabs on the US international.
The report came after Sports Illustrated’s Grant Wahl claimed that an unnamed Championship side have lodged a bid of around $3 million [£1.97 million] for the promising front man’s signature, which the Galaxy could be prompted to accept due to their salary cap issues.
Speaking to MLSsoccer.com, Klein admitted that conversations about Zardes “have been ongoing” of late, but the former MLS midfielder also stressed that “nothing serious” has been discussed and the club plan to have him back for the 2016 season.
“I would say our priority is to keep Gyasi as a member of our club,” said Klein. “He's done great here, and he's been great with the national team. We'll continue to evaluate [offers].
“With all our players, we try to evaluate the need to the Galaxy, the desires of the players, and then marry those up and see what we can come to. The transfer window doesn't open up until January, [and] Gyasi has been with the national team [for the start of 2018 World Cup qualifying], so we'd like to get him back in and meet with him and evaluate all of the options.”
Zardes originally joined the Galaxy in December 2012 as a homegrown player and has since recorded 26 goals and 10 assists in 88 regular season appearances, while also helping the club win the 2014 MLS Cup.
Having often been used as a winger, the 6ft 2in forward has not been the most prolific scorer, but his impressive performances have seen him become a regular starter for Jurgen Klinsmann's US national team this year after earning the first of his 18 caps in January.
A high-profile move to Europe is likely not far off now, although the pacey attacker himself is ignoring all the rumours surrounding his future for the moment.
“There's so many rumors out there,” he told MLSsoccer.com earlier this month. “There's so many other people out there [saying], 'Hey, this team is interested in you,' and I'm just, like, that's not my focus. I'm an LA Galaxy player and this is my primary focus and this is my job, this is my team, these are my coaches, and today – right now, this moment – is the only moment that matters.
“Anything can happen once I walk out those doors [away from StubHub Center], but this [right now] matters, you know?”