After losing Lukaku, As Roma had to immediately look for a replacement player, but until now As Roma is still having difficulty bringing in a new striker. It is true that As Roma's target is player Youssef En-Nesyri, but unfortunately this will most likely be difficult to materialize because according to the news I read, striker Youssef En-Nesyri accepted the offer from Fenerbahce more than AS Roma's offer. The reason is that Fenerbahce offers a bigger salary than AS Roma. I think AS Roma must have other options in looking for a new striker so they cannot just focus on Youssef En-Nesyri but must have other options. If Youssef En-Nesyri fails to bring him to As Roma, they could target another striker.
AS Roma must be able to move quickly to target a new striker because currently there are many big teams who are also targeting players for the striker position so the players will consider bigger offers rather than simpler offers. Apart from that, AS Roma also has to look at young players for this position so that AS Roma's own strength can increase sufficiently next season because players of Lukaku's age actually don't need to be targeted anymore because their sharpness in playing in any match has started to decrease. Although not all players are like that, a team like AS Roma really needs some front line players who are young and sharp in their finishing.
I am quite skeptical when they are asked to move quickly to bring in new players to replace the players who left, they are a very relaxed club in the transfer market, they will look for players who are not expensive to bring in or in other words they are not ready to spend big money during the window transfer opened. And that could happen again in this transfer market, actually this is a little detrimental to the coach's performance and I think De Rossi feels that now.
A coach will want full support from management, including in recruiting players and now De Rossi is feeling that difficulty. I haven't heard that De Rossi is proposing something, maybe he is aware that As Roma management will not move quickly so he prefers other options than having what he proposes rejected. because De Rossi has been at AS Roma for a long time, so he knows the character of this management.