Eduardo, formerly of Arsenal, is out of a contract at the end of the season and would be available via free transfer.
The Brazilian-born Croatia international, 30, has scored six goals in 16 appearances in all competitions for the Ukrainian champions this term and would welcome a move back to England’s top-flight.
“I still love the Premier League,” Eduardo told the Daily Star.
“I keep in touch with Tomas Rosicky and Bacary Sagna at Arsenal and keep an eye on what is generally happening in England.
“I expect to play for Croatia in Brazil and if I have a good World Cup, who knows what that could lead to?”
Eduardo, who totaled six goals and nine assists in 41 league appearances — including 26 starts — for the Gunners between 2008 to 2010, expects the title race to come down to Arsenal, Liverpool and Manchester United.
“Arsenal have the right mentality and I’m not surprised they have made such a good start to the season and are top of the Premier League,” added the 30-year-old.
“Don’t forget, their great run of form actually started in the second-half of last season when they went on a run, picked up a lot of points and qualified for the Champions League.
“I think United will get stronger as the season goes on – they will go on a run and fight Arsenal for the title.
“I also like Liverpool this season and how they are playing. I think the title-race will come down to those three sides – Arsenal, Manchester United and Liverpool.”
Moyes: United ready to spend
Manchester United manager David Moyes has revealed the club are ready to splash the cash when the transfer window re-opens in January.
The reigning Premier League champions, currently in 8th-place in the league table (10 points behind leaders Arsenal), were very close to a ‘big signing’ in the summer, but Marouane Fellaini was the only major arrival at Old Trafford.
“The club have the money and they will spend, there’s no question about that,” said Moyes.
“We were very close to a major, major signing back in the summer.
“It’s easy now saying it and we didn’t do it but we were really close to a major signing and the club would have definitely shown what they’re worth.”
United, fresh off a 3-0 away win over Aston Villa, will travel to the Britannia Stadium to take on Stoke City in the Capital One Cup quarter-finals.
Cornelius not ready for EPL action
Cardiff City boss Malky Mackay has insisted Andreas Cornelius, who joined the club from FC Copenhagen for a then-record fee of £8 million in the summer, is not ready for Premier League football.
The Denmark international, 20, has been likened to Nicklas Bendtner, which may worry the Bluebirds’ supporters.
The high-profile signing has yet to feature in the starting XI for Cardiff but Mackay has moved to play down the Dane’s less than stellar start to the season.
“He is here for the long-term. It’s about him developing his awareness with the first-team,” said Mackay.
“He was unlucky to suffer an injury but he was never going to be ready to hit the ground running.”