The Russian outfit attempted to lure the Brazilian from his current club in the summer, but were deterred by the Portuguese outfit's asking price
The Brazil international was strongly tipped to join the ambitious Russian outfit in the closing stages of the transfer window as they looked for a strike partner for Samuel Eto'o.
Tkachenko, who works closely with Anzhi, says it was only Porto's last-minute demands that caused the deal to collapse as Hulk had already agreed personal terms.
"Of course, we talked and even reached agreement with Hulk, but Porto demanded a weird transfer amount – €70 million," he told Sports.ru.
"We approached Santos, and Roberto Carlos talked to Neymar. We talked to Anatoliy Tymoshchuk, but did not have enough time to reach agreement with Bayern. Alan Kasaev was also one of our targets.
"We also approached [Marco] Reus from Borussia Monchengladbach."
Meanwhile, the Russian agent believes that the signing of Eto'o is the perfect illustration of Anzhi's recent growth and demonstrates that the club have become an appealing destination for the best players.
"Everyone realises we are something special," Tkachenko explained. "Our attitude to scouting is very serious.
"Speaking about Eto'o, for example, his transfer required 14 interviews: I talked about him with [Yossi] Benayoun, because they used to be friends in Spain, with [Predrag] Mijatovic, with Roberto Carlos, with Jose Mourinho, with Artur Jorge, with the doctors from Barcelona and Real Madrid.
"We are now the most widely mentioned club in the world. Everyone knows us, everyone wants to join us. If only I could reveal the names, these would be the names of top players."